Practice Page
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.
bluetriprism
Choose:
 
1344 in3
672 in3
 
336 in3
56 in3
blackbar
 
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
blackbar
 
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.
cubelabeled
Choose:
 
45º
60º
 90º 135º
blackbar
 

b) Find the area of ΔFBH in square centimeters.
Choose:
 
50 cm2
50rad3cm2
100 cm2
100rad3cm2
blackbar
 
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.
redcylinder
Choose:
 
225π cm2
100π cm2
 
900π cm2
400π cm2
blackbar
 
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.
prismhexPractice
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?
greencylinderperp
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
 
25rad2 square meters
 
25rad3 square meters
 
50 square meters

yellowcube



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?
cutcylinder
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.
cylindergreenshort
Choose:
 
4pi
12pi
16pi
24pi



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!)		 bluecylinderhole
 

The volume of this solid is 18rad3cubic 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 2rad3 inches.

To the nearest hundredth, the surface area of this solid is 69.44 square inches.

        

 

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