Looking at Prisms and Pyramids
Looking at Prisms and Pyramids Name__________________________
1 – 2 Find the Lateral Surface Area, Total Surface Area, Volume
Find the area of a cross section 3 inches from the base
1. Right Regular Hexagonal Prism 2. Regular Square Pyramid
The height of the pyramid is CD which equals 12 “.
3. Find the length of a lateral edge of a cube 4. A pyramidal tent whose base is in the shape of
if the total surface area of the cube is 150 sq cm. a square region has volume 1836 cu ft. If the length of a side of the base is 18 ft, find the altitude of the pyramid.
5. The base of a pyramid is a right triangle. 6. A rectangular tank is 5 feet by 4 feet by 9 feet.
One leg is 3 times as long as the other leg. The How many gallons of water will the tank hold when
height of the pyramid is 8 times as long as the filled? ( 1 cu ft of water [pic] 7.5 gallons)
shorter leg. The volume of the pyramid is
8788 cu ft. Find the two legs and the height.
1. 720 sq”, 720 + 300[pic] sq”, 1800[pic] cu”, 150[pic] cu” 2. 260 sq”, 360 sq”, 400 cu”, 56.25 sq”
3. 5 cm 4. 17 ft 5. 13’, 39’, 104’ 6. 1350 gal.
7. Find the volume of these solids.
A. [pic]B. [pic]C. [pic]D. [pic]
8. Given a Right Trapezoidal Prism. Find the Lateral Surface Area, Total Surface Area, and Volume
[pic]
9. A rock has been submerged in a right rectangular prism. The solid has caused the water level to rise 2 feet. Find the volume of the rock.
[pic]
10. The numbers for the volume and total surface 11. Find the volume of the pyramid inside this
of a cube are equal. Find the edge of the cube. cube if one edge of the cube is 3”.
7. 24 cu”, 40 cu”, 96 cu”, 300 cu” 8. 140 sq”, 18 + 140 sq”, 90 cu” 9. 192 cu” 10. 6 units 11. 9 cu”
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