Surface Area and Volume of Prisms and Cylinders

1. The diagram shows a right prism. What is the total surface area?

• 350 cm2

• 500 cm2

• 650 cm2

• 900 cm2

Tags

CCSS.7.G.B.6

Calculate the total surface area, in cm², of a solid cylinder with a diameter of 4p cm and a height of 12p cm.

• 28πp2

• 48πp2

• 56πp2

• 72πp2

The dimensions of a cuboid are 10 cm by 20 cm by 5 cm. Find the new total surface area, in cm², if all three values are increased by 10%.

• 700

• 750

• 847

• 954

Tags

CCSS.6.G.A.4

The diagram below shows a cubical container. Given that 1568 cm³ of water is poured into the container, calculate the height of the water level in the container.

• 7

• 8

• 112

• 196

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

The diagram below shows the layout of a cube. Find the volume, in cm³, of the cube.

• 48

• 36

• 27

• 24

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

A cuboid is cut into two identical parts as shown. Find the volume of each part in cm³.

• 48

• 60

• 96

• 120

Tags

CCSS.5.MD.C.5C

The diagram below shows a cylindrical container with a base radius of 7 cm. Given that the volume of water in the container is 343 cm³, calculate the height of the water level in cm.

• 7/π

• 21/π

• 14/π

• 28/π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 5

• 6

• 8

• 9

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The diagram below shows a cuboid. How many cuboids of the same type are required to fill up a rectangular box which is 35 centimeters long, 21 centimeters wide and 14 centimeters high?

• 343

• 300

• 285

• 263

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5A

The diagram below shows a cuboid and a cube. Given that both cuboid and cube have the same volume, find the value of t in cm.

• 72

• 36

• 18

• 12

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B