Jacob has two rectangular sheets of metal that measure 10 centimeters (cm) by 20 cm. He
formed Box A by cutting a 3 cm square from each corner of the metal sheet and folding up
the flaps to form a rectangular prism with an open top.
Jacob then formed Box B by cutting a 1 cm square from each corner of the other sheet of
metal and folding up the flaps to form another rectangular prism with an open top.
What is the difference in the volumes,
in cubic centimeters, of Box A and Box B?
A. 20 cubic cm
B. 24 cubic cm
C. 32 cubic cm
D.48 cubic cm
MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of
solids.
Mr. Tran built a rectangular sandbox for the local park as shown below. He wants
to fill it with sand that comes in 50-pound bags. If each bag contains about 0.75
cubic feet of sand, how many bags are needed to fill the sandbox?
A. 120
B. 140
C. 160
D.190
MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of
solids.
Samir built a wooden storage shed in the shape of a cube with sides 10 feet on each side
capped by a right square pyramid, as shown by the figure below. The height of the entire
figure is 22 feet. Samir needs to paint all of the lateral surfaces of the shed, including the
roof but not including the floor. What is the surface area that will need to be painted?
A. 640 sq feet
B. 660 sq feet
C. 760 sq feet
D.1400 sq feet
MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of
solids.
MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of
solids.
A glass right cylinder with diameter 12 centimeters (cm) is partially filled with
water to a level of 16 cm as shown in the figure below.
If a solid metal cube with an edge length of 7 cm is dropped into the cylinder,
which of the following is closest to the height of the new water level?
A. 13 cm
B. 17 cm
C. 18 cm
D. 19 cm
MA.912.G.7.5: Explain and use formulas for lateral area, surface area, and volume of
solids.