ACT released questions Volume

Answer the following question

• 6 x 6

• 7 x 7

• 8 x 8

• 9 x 9

• 10 x 10

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

The plans for a diving pool call for a rectangular prism that has a length of 30 meters, a width of 25 meters, and a depth of 5 meters. If the the plans are changed to increase both the length and the width of the pool by 10%, what will be the increase, to the nearest 1%; in the volume of the pool?

• 10%

• 17%

• 20%

• 21%

• 33%

Tags

CCSS.7.G.B.6

A box in the shape of a cube has an interior side length of 18 inches and is used to ship a right circular cylinder with a radius of 6 inches and a height of 12 inches.  The interior of the box not occupied by the cylinder is filled with packing material.  Which of the following numerical expressions gives the number of cubic inches of the box filled with packing material?

• $6\left(18\right)^2-2\pi\left(6\right)\left(12\right)-2\pi\left(6\right)^2$

• $6\left(18\right)^2-2\pi\left(6\right)\left(12\right)$

• $18^3-\pi\left(6\right)\left(12\right)^2$

• $18^3-\pi\left(6\right)^2\left(12\right)$

• $18^3-\pi\left(12\right)^3$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Answer the following question.

• 264

• 352

• 1,056

• 4,224

• 4,928

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Answer the following question.

• 24

• 64

• 72

• 192

• 512

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

Toby wants to find the volume of a solid toy soldier. He fills a rectangular container 8 cm long, 6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume in cubic centimeters, of the toy soldier?

• 125

• 156

• 192

• 208

• 317

Tags

CCSS.3.MD.A.2

Erika is landscaping her front yard. The yard, which is level, has the shape of a rectangle that is 60 feet wide by 80 feet long. To cover the yard with a layer of topsoil having a uniform depth of 4 inches   $\left(\frac{1}{3}\ foot\right)$  . Erika needs to use how many cubic feet of topsoil?

• 1,600

• 1,920

• 4,800

• 14,400

• 19,200

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

Answer the following question.

• $\frac{1}{9}$

• 1

• $2\frac{1}{9}$

• 9
  

• 81

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

Answer the following question.

• the same.

• $\frac{1}{2}$ as great.

• $\frac{2}{3}$ as great.

• 2 times as great.

• 4 times as great.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Javier will have a pool installed in his backyard.  The interior of the pool is a right circular cylinder with a uniform depth of  5 feet and a radius of 8 feet.  The maximum volume of water that can be in the pool is 75% of the pool. Which of the following values is closest to the maximum number of cubic feet of water that can be in the pool?

• $0.75\pi\left(8^2\right)\left(5\right)$

• $0.75\pi\left(5^2\right)\left(8\right)$

• $0.75\pi\left(5\left(8\right)\right)^2$

• $\left(8^2\right)\left(5\right)\pi-75$

• $\left(5^2\right)\left(8\right)\pi-75$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3