Common Core Standard HSG-GMD.A.3 Questions

Grade 11 Volume CCSS: HSG-GMD.A.3

The great pyramid of Giza has a height of 481 feet and a square base with a width of 756 feet. If it is solid inside, what volume of rock is in it?

[math]65","333","333 \ "ft"^3[/math]
[math]91","636","272 \ "ft"^3[/math]
[math]19","636","272 \ "ft"^3[/math]
[math]695","272 \ "ft"^3[/math]

Grade 11 Volume CCSS: HSG-GMD.A.3

If a semi-spherical sink can hold 8 liters, how deep is it?

13.8 cm
15.6 cm
8.6 cm
6.2 cm

Grade 11 Volume CCSS: HSG-GMD.A.3

A cylindrical cup with a radius of [math]1 1/2[/math] inches is filled with water to a depth of [math]2[/math] inches. If 30 steel balls which each have a diameter of [math]3/4[/math] inch are placed in the cup, how much will the water rise?

[math]15/16[/math] in
[math]3/4[/math] in
[math]16/15[/math] in
[math]3/2[/math] in

Grade 11 Volume CCSS: HSG-GMD.A.3

A pyramid shaped roof covers a house which is 36 ft X 36 ft. If the attic contains [math]4320 \ "ft"^3[/math] of air, how high is the peak?

[math]10 \ "ft"[/math]
[math]8 \ "ft"[/math]
[math]12 \ "ft"[/math]
[math]11.5 \ "ft"[/math]

Grade 11 Volume CCSS: HSG-GMD.A.3

A plastics company manufactures straight sections for water slides. Each finished section is the shape of half of a cylinder and is 72" long and 32" wide at the inside of the top lip. If the sections are made one inch thick how much plastic does each section require?

4,645 cubic inches
7,954 cubic inches
3,506 cubic inches
7,012 cubic inches

Grade 11 Volume CCSS: HSG-GMD.A.3

A rectangular pyramid is 253 ft by 372 ft and 132 ft tall. What is the volume of the pyramid?

[math]4,104,141 \ "ft"^3[/math]
[math]3,265,124 \ "ft"^3[/math]
[math]4,008,333 \ "ft"^3[/math]
[math]4,141,104 \ "ft"^3[/math]

Grade 11 Volume CCSS: HSG-GMD.A.3

An ice cream cone 4" high can hold 6 cubic inches of ice cream inside the cone. What is the distance around the top of the cone?

7.5"
6"
13"
4"

Grade 11 Volume CCSS: HSG-GMD.A.3

If a spherical water tank can hold 33,510 [math]ft^3[/math] of water, what is the diameter of the tank?

20 ft
40 ft
243 ft
238 ft

Grade 11 Volume CCSS: HSG-GMD.A.3

A standard softball has a circumference of 12 inches. What is the volume of a softball?

8 cubic inches
33 cubic inches
26 cubic inches
29 cubic inches

Grade 10 Three Dimensional Shapes

A large spherical tank has a diameter of 20.9 m. Use either the formula A = [math]pid^2[/math] or the formula A = [math]4pir^2[/math] to calculate the surface area of the storage tank. Round the area to the nearest whole number.

Grade 11 Volume CCSS: HSG-GMD.A.3

A cylindrical water tower has a diameter of 62' and can hold enough water to supply the small town for two days. The town uses an average of 15,724 [math]ft^3[/math] per hour. How tall is the water tower?

250 ft
100 ft
87 ft
125 ft

Grade 11 Volume CCSS: HSG-GMD.A.3

A cylindrical air duct with a diameter of 26" can hold 155 [math]ft^3[/math] of air. How long is the duct?

41 feet
23 feet
25 feet
19 inches

Grade 11 Volume CCSS: HSG-GMD.A.3

A hedge is trimmed in the shape of a pyramid. The hedge is 8 feet square at the base and 6 feet high. If the shrub takes up 40% of the volume of the hedge, what volume of shrubbery is in the hedge?

[math]59.2 \ ft^3[/math]
[math]153.6 \ ft^3[/math]
[math]49.8 \ ft^3[/math]
[math]51.2 \ ft^3[/math]

Grade 11 Volume CCSS: HSG-GMD.A.3

A pool with a fountain is the shape of an inverted pyramid. The pool must be [math]25 \ m[/math] square and can hold [math]2,500 \ m^3[/math]. How deep must it be in the middle?

[math]12 \ m[/math]
[math]16 \ m[/math]
[math]11 \ m[/math]
[math]26 \ m[/math]

Grade 11 Volume CCSS: HSG-GMD.A.3

A funnel is [math]12 \ "cm"[/math] tall and can hold [math]200 \ "cm"^3[/math]. What is the diameter of the top of funnel?

3 cm
13 cm
6 cm
8 cm

Grade 11 Volume CCSS: HSG-GMD.A.3

A cup, which is 4 inches deep and 3.5 inches in diameter, is filled with water and then poured into a cup that is 6 inches deep and 2.5 inches in diameter. Which statement is correct?

The water will not all fit in the second cup.
The water will fit in the second cup with room to spare.
The water will fill the second cup exactly to the top.
There is not enough information to determine.

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Common Core Standard HSG-GMD.A.3 Questions

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