Prism and Cylinder Practice Terms of Use    Contact Person: Donna Roberts
Directions: Read carefully and choose the best answer.

1.
A right triangular prism is shown at the right. The bases are isosceles triangles.

a) Find the volume of the prism.
Choose:
 1344 in3 672 in3 336 in3 56 in3

b) A plane slices the prism, as shown, parallel to the bases. Find the area of the cross section created by the slice.
Choose:
 112 in2 96 in2 84 in2 56 in2

c)
Find the surface area of the prism to the nearest square inch.
Choose:
 318 in2 400 in2 557 in2 636 in2

2.
Given a cube, with vertices as labeled, and with a lateral side length of 10 cm.

a)
Find the measure of ∠FBH.
Choose:
 45º 60º 90º 135º

b)
Find the area of ΔFBH in square centimeters.
Choose:
 50 cm2 cm2 100 cm2 cm2

c)
Find the volume of the cube in cubic centimeters.
Choose:
 100 cm3 500 cm3 1000 cm3 5000 cm3

3.
A right circular cylinder is shown at the right. A plane slices the cylinder parallel to the bases.

a)
Find the area of the cross section.
Choose:
 225π cm2 100π cm2 900π cm2 400π cm2

b)
Find the volume of the portion of the cylinder below the cross section.
Choose:
 4500π cm3 5625π cm3 8250π cm3 10125π cm3

4.
A regular hexagonal prism has the measurements as shown. Find its volume to the nearest tenth of a cubic unit.
Choose:
 1728.0 cubic units 1221.9 cubic units 1496.5 cubic units 2993.0 cubic units

5.
A right circular cylinder is given. A slice perpendicular to the bases creates the cross section shown. The length from the center of the base perpendicular to the cross section is 3 inches, and the height of the cylinder is 18 inches. If the volume of the cylinder is 450π cubic inches, what is the area of the cross section?
Choose:
 54 in2 72 in2 144 in2 180 in2

6.
A cube is sliced as shown. Find the area of the cross section formed by the slice.

Choose:
 25 square meters square meters square meters 50 square meters

7.
Find the lateral surface area of a cylinder whose volume is 192π cubic units and whose height is 12 units.

Choose:
 48 units2 48π units2 96 units2 96π units2

8.
A 90º wedge is removed from a right circular cylinder with a radius of 9 inches and a height of 2 feet. Which choice is the volume of the remaining portion of the cylinder?
Choose:
 121.5 π cubic feet 121.5 π cubic inches 10.125 π cubic feet 1458 π cubic inches

9.
In the closed cylinder shown at the right, the height is equal to the radius. The total surface area of the cylinder is 576 square inches. Find the exact length of the radius in inches.
Choose:

 10. A right, regular, triangular prism has a circular cylindrical hole through its center. Which of the following statements are true regarding this solid? (Check all that apply, and hit SUBMIT!) The volume of this solid is cubic inches. The volume of the cylindrical hole is 6.48π cubic inches. If the cylinder is tangent to the sides of the prism, its radius would be inches. To the nearest hundredth, the surface area of this solid is 69.44 square inches.

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