Mass, Volume and Density without Numbers

Name: ____________________

Date: ______________

Mass, Volume and Density without Numbers

We have recently talked about the relationship between mass, volume and density. In this worksheet we will continue to explore this relationship. Below are several squares of various sizes which represent their volume. The number of dots inside the squares represents the mass of the object. Answer the questions about the squares that follow.

Assume that each dot represents the same quantity of mass. Each square represents the front face of a cube.

a.

b.

c.

d.

e.

f.

1. Which object has the greatest mass? Explain. ______________________________________________ _______________________________________________________________________________________ 2. Which object has the smallest mass? Explain. ______________________________________________ _______________________________________________________________________________________ 3. Which object has the largest volume? Explain. _____________________________________________ _______________________________________________________________________________________ 4. Which object has the smallest volume? Explain. ____________________________________________ _______________________________________________________________________________________ 5. Which two objects have the same volume? Explain. _________________________________________ _______________________________________________________________________________________ 6. Which two objects have the same mass? Explain. ___________________________________________ _______________________________________________________________________________________

K. Josephs - 2012

7. If two objects have the same volume do they have to have the same mass? Explain. ________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 8. Which object has the greatest density? Explain. _____________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 9. Which object has the smallest density? Explain. ____________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 10. Which two objects have the same density? Explain. _________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 11. Which two objects would you expect to be made of the same material? Explain. ___________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 12. Why does the object with the largest volume not have the largest mass also? ______________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 13. Using squares and dots draw two pictures of objects with different volumes and densities in the space

below. The object with smaller volume must have a smaller mass but greater density than the object with greater volume.

K. Josephs - 2012

Mass, Volume and Density without Numbers ? ANSWER KEY

We have recently talked about the relationship between mass, volume and density. In this worksheet we will continue to explore this relationship. Below are several squares of various sizes which represent their volume. The number of dots inside the squares represents the mass of the object. Answer the questions about the squares that follow.

a.

b.

c.

d.

e.

f.

1. Which object has the greatest mass? Explain. ____O_b_j_ec_t_"_e_"__h_as__th_e__g_re_a_t_e_st_m__a_s_s_b_e_c_a_u_se__it_h_a_s__th_e___ __g_r_e_a_te_s_t _n_u_m_b_e_r_o_f__d_o_ts_.__________________________________________________________________ 2. Which object has the smallest mass? Explain. __O__b_je_c_t_"_b_"_h_a_s__th_e_s_m__a_ll_e_st__m_a_s_s_b_e_c_a_u_se__it_h_a_s__th_e____ _l_e_a_s_t _a_m_o_u_n_t_o_f_d_o_t_s_. _____________________________________________________________________ 3. Which object has the largest volume? Explain. __O__b_je_c_t_"_f_"_h_a_s_t_h_e_l_a_rg_e_s_t_v_o_l_u_m_e__b_e_ca_u_s_e_i_t_t_a_k_es__u_p_ _t_h_e_m__o_s_t _a_m_o_u_n_t_o_f_s_p_a_c_e_._________________________________________________________________ 4. Which object has the smallest volume? Explain. _O__b_je_c_t_"_a_"_h_a_s_t_h_e_s_m__a_ll_e_st_v_o_l_u_m__e_b_e_c_a_u_se__it_t_a_k_e_s_u_p __t_h_e_l_e_as_t_a_m__o_u_n_t _o_f_s_p_a_ce_._________________________________________________________________ 5. Which two objects have the same volume? Explain. __O__b_je_c_t_"_b_"_a_n_d__"_c"__h_a_v_e_t_h_e_s_a_m_e__v_o_lu_m__e_b_e_c_a_u_se ___th_e_y__b_o_th__ta_k_e_u_p__t_h_e_s_a_m_e__am__o_u_n_t_o_f_s_p_a_c_e_. _________________________________________________ 6. Which two objects have the same mass? Explain. __O_b_j_e_c_t_"_c_"_a_n_d_"_f_"_h_a_v_e__th_e__sa_m__e_m__a_ss__b_e_ca_u_s_e_t_h_e_y _h_a_v_e__th_e__sa_m__e_n_u_m__b_e_r_o_f_d_o_t_s.______________________________________________________________

K. Josephs - 2012

7. If two objects have the same volume do they have to have the same mass? Explain. ________________ _N__o_t_h_e_y_d_o__n_o_t _h_a_v_e_t_o_h_a_v_e_t_h_e_s_a_m__e_m__as_s_.__T_h_e_m__a_ss__o_f _a_s_m__al_l_er__o_b_je_c_t_c_a_n_b_e__b_ig_g_e_r_t_h_a_n_t_h_e_m__a_ss__o_f _a_ _l_a_r_g_er__o_b_je_c_t.__O_b_j_e_c_t _"_f"__w_a_s_l_a_rg_e_r__th_a_n_o_b_j_e_c_t _"_c_"_b_u_t_h_a_d_t_h_e_s_a_m__e_m__as_s_.__________________________ 8. Which object has the greatest density? Explain. __O_b_j_e_c_t _"_c"__h_a_d_t_h_e_g_r_e_a_te_s_t_d_e_n_s_it_y_b_e_c_a_u_s_e_t_h_e_d_o_t_s__ _a_r_e_p_a_c_k_e_d__cl_o_s_e_st_t_o_g_e_th_e_r_.________________________________________________________________ _______________________________________________________________________________________ 9. Which object has the smallest density? Explain. __O_b_j_ec_t_"_d_"__h_a_s_th_e__s_m_a_l_le_s_t_d_e_n_s_it_y_b_e_c_a_u_s_e_th_e__d_o_ts__ __a_r_e_s_p_r_e_a_d_o_u_t_t_h_e_m__o_st_.__________________________________________________________________ _______________________________________________________________________________________ 10. Which two objects have the same density? Explain. __O__b_je_c_ts__"_a_"_a_n_d_"_f_"_h_a_v_e__th_e_s_a_m__e_d_e_n_s_it_y______ _b_e_c_a_u_s_e_t_h_e_d_o_t_s_a_r_e_p_a_c_k_e_d_t_o_g_e_th_e_r_i_n_a__si_m__il_a_r _fa_s_h_i_o_n_. ________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 11. Which two objects would you expect to be made of the same material? Explain. ___________________ _I__w_o_u_l_d_e_x_p_e_c_t_o_b_je_c_t_s_"_a_"_a_n_d__"f_"_t_o__b_e_m_a_d_e__o_u_t_o_f_t_h_e_s_a_m_e__m_a_t_er_i_a_l _b_ec_a_u_s_e_i_f_y_o_u__to_o_k__a_p_i_ec_e__o_f_th_e___ _l_a_r_g_er__o_b_je_c_t_"_f_"_it__w_o_u_l_d_l_o_o_k_t_h_e_s_a_m_e__a_s _o_b_je_c_t_"_a_"_. ___________________________________________ 12. Why does the object with the largest volume not have the largest mass also? ______________________ __B__e_ca_u_s_e__th_e_d_e_n_s_i_ty__o_f_th_e__o_b_je_c_t_w__it_h_t_h_e_l_a_rg_e_s_t_v_o_l_u_m_e__h_as__a_s_m_a_l_le_r__d_en_s_i_ty__th_a_n__th_e__o_b_je_c_t_w_i_t_h_t_h_e___ __g_r_e_a_te_s_t_m__a_ss_.__________________________________________________________________________ 13. Using squares and dots draw two pictures of objects with different volumes and densities in the space

below. The object with smaller volume must have a smaller mass but greater density than the object with greater volume.

K. Josephs - 2012

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