FSA Review Foundation #7: 3D Geometry

FSA Review Foundation #7: 3D Geometry

Multiple Choice

Which figure will this net make?

• Cone
• Triangular Prism
• Square Pyramid 
• Cube

Multiple Choice

What 3D solid does this net create?

• Rectangular Prism
• Rectangular Pyramid
• Cube
• Square Prism

Multiple Choice

Identify the net.

• square pyramid
• cube
• hexagonal cube
• square

Multiple Choice

Identify the net.

• hexagonal prism
• pentagonal prism
• hexagonal pyramid
• pentagonal pyramid

Multiple Choice

What is the surface area for the rectangular prism?

• 36 cm2

• 64 cm2

• 72 cm2

• 14 cm2

Multiple Choice

Find the surface area of the triangular prism.

• 228 in²
• 204 in²
• 304 in²
• 328 in

Multiple Choice

What is the surface area of the cube?

• 12 cm²

• 36 cm²

• 24 cm²

• 64 cm²

Multiple Choice

What is the surface area of the triangular prism?

• 54 m²

• 336 m²

• 275 m²

• 180 m²

Multiple Choice

What is the surface area of the pyramid?

• 24 cm ²

• 84 cm ²

• 112 cm ²

• 64 cm ²

Multiple Choice

Find the lateral surface area of the cylinder.

• 192π
• 128π
• 96π
• 402π

Multiple Choice

Find the lateral surface area of this figure.

• 100 cm²
• 120 cm²
• 15 cm²
• 75 cm²

Multiple Choice

What is the Lateral Surface Area of the tent?

• 150 in²
• 12,000 in²
• 4000 in²
• 14,000 in²

Multiple Choice

Find the lateral surface area of the prism.

• 25 square inches
• 37.5 square inches
• 136 square inches
• 95.5 square inches

Multiple Choice

Find the Surface Area

• 556 cm²
• 278 cm²
• 680 cm²
• 340 cm²

Multiple Choice

Find the surface area of the cylinder.

• 471.24 square centimeters
• 157.08 square centimeters
• 314.16 square centimeters
• 296.72 square centimeters

Multiple Choice

Find the surface area of the cylinder. (HINT: Make sure you use the RADIUS!)

• 100.53 square inches
• 351.86 square inches
• 251.33 square inches
• 50.27 square inches

Multiple Choice

What is the surface area of this figure?

• 3000 cm ²
• 164 cm ²
• 236 cm ²
• 328 cm ²

Multiple Choice

Shelby wants to wrap a present in a box for Sarah. The top and bottom of the box is 8 in. by 3 in., the sides are both 3 in. by 2 in. and the front and back are 8 in. by 2 in. How much wrapping paper will Chloe need to wrap the present?
How much wrapping paper is needed?

• 44 in²
• 70 in²
• 48 in²
• 92 in²

Multiple Choice

Jesse needs to wrap the present shown below. How much wrapping paper would he need?
How much wrapping paper is needed?

• 300 in²
• 558 in²
• 327 in²
• 354 in²

Multiple Choice

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 418.00 cm³
• 139.33 cm³
• 130.62 cm³
• 1671.98 cm³

Multiple Choice

Find the Volume of the triangular prism.

V = (base area)(height)

• 960 cm ³

• 240 cm ³

• 1920 cm ³

• 400 cm ³

Multiple Choice

Find the volume of the figure. Round to the nearest tenth.

• 80 cm³
• 40 cm²
• 80 cm²
• 40 cm³

Multiple Choice

• 45mm²
• 45mm³
• 3,375mm³
• 3,375mm²

Multiple Choice

Find the volume of the solid shown in the figure. Round to the nearest whole number.

• 7230

• 6621

• 1131

• 907

Multiple Choice

Find the volume of the rectangular prism.

• 55 yd³

• 121 yd³

• 22 yd³

• 330 yd³

Multiple Choice

Determine the surface area

• 822.78 in²

• 679.68 in²

• 1137.36 in²

• 1122.41 in²

Multiple Choice

Determine the surface area

• 365.68 cm²

• 405.45 cm²

• 957.56 cm²

• 363.08 cm²

Multiple Choice

Determine the surface area

• 16.8 mi²

• 22.9 mi²

• 19.8 mi²

• 10.7 mi²

Multiple Choice

Determine the surface area

• 174.15 km²

• 150.8 km²

• 229.17 km²

• 244.35 km²

Multiple Choice

Find the surface area of this cone.

• 65π ft.²
• 60π ft.²
• 90π ft.²
• 130π ft.²

Multiple Choice

^{_{Find the Surface Area}}

• 15m²
• 16m²
• 18m²
• 20m²

Multiple Choice

A pyramid has a square base. Each side of the base is 9 cm. The slant height is 14 cm. What is the total surface area?

• 126 cm²

• 144 cm²

• 252 cm²

• 333 cm²

Multiple Choice

What is the total surface area of the pyramid? Round to the nearest hundredth.

• 1,024.01 square units

• 809.54 square units

• 1,065.54 square units

• 1,179.02 square units

Multiple Choice

Find the Total Surface Area of the given figure.

• 477.52m²

• 427.26m²

• 578.05m²

• 628.32m²

Multiple Choice

What is the total surface area of the cone?

• 91.374 in²

• 56.52 in²

• 169.56 in²

• 28.3 in²

Multiple Choice

On a trip to Oregon, Sabrina bought a small stone in the shape of a square pyramid as a souvenir. Determine the volume of the stone. Round to the nearest tenth. 

• 4.5 in ³
• 6 in ³
• 6.75 in ³
• 1.5 in ³

Multiple Choice

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 12.56 ft³
• 37.68 ft³
• 18.84 ft³
• 6.28 ft³

Multiple Choice

• 2303.8 cm³

• 3455.8 cm³

• 1675.5 cm³

• 251.3 cm³

Multiple Choice

A cone has a height of 4 in. and a radius of 6 in. Find the volume.

• 8π in³

• 24π in³

• 48π in³

• 144π in³

Multiple Choice

Find the volume.

• 240 cm³

• 1440 cm³

• 720 cm³

• 480 cm³

Multiple Choice

Find the volume of the rectangular pyramid.

• 364 cm³

• 1092 cm³

• 546 cm³

• 182 cm³

Multiple Choice

Find the Volume if the height is 10 cm and radius 3 cm?

• 30π in³

• 60π in³

• 90π in³

• 100π in³

Multiple Choice

Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?

• 7,389 cm³
• 6,333 cm³
• 3,167 cm³
• 1,847 cm³

Multiple Choice

Find the height of the cone

• 6 in.

• 8 in.

• 10 in.

• 12 in.

Multiple Choice

What is the volume of this figure?

• 12 cubic inches

• 27 cubic inches

• 108 cubic inches

• 109 cubic inches

Multiple Choice

Find the volume.

• 151.2 yd³

• 163.7 yd³

• 179.1 yd³

• 186.3 yd³

Multiple Choice

What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.

• 4825.5 ft³

• 1206.4 ft³

• 3297.5 ft³

• 2975.3 ft³

Multiple Choice

Find the volume of the composite solid.

Use 3.14 for pi.

• 188.4 m³

• 753.6 m³

• 75.36 m³

• 481.8 m³

Multiple Select

Which 3D Figures make up the following composite solid.

• Cone

• Cylinder

• Pyramid

• Rectangular Prism

Multiple Select

Which 3D Figures make up the following composite solid.

• Sphere

• Cylinder

• Pyramid

• Rectangular Prism

Multiple Choice

Which 3D Figures make up the following composite solid.

• Cone

• Cylinder

• Pyramid

• Rectangular Prism

Multiple Select

Which 3D Figures make up the following composite solid.

• Rectangular Prism

• Cylinder

• Pyramid

• Sphere

Multiple Choice

Find the volume of the roll of duct tape.

• 7.2
• 9.5
• 15.3
• 21.6

Multiple Choice

What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.

• 4825.5 ft³
• 1206.4 ft³

Multiple Choice

Find the Volume of the composite figure.

• 2400 ft³
• 1920 ft³
• 4128 ft³
• 2112 ft³

Multiple Choice

A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter. 

• 216 cm³
• 25 cm³
• 100 cm³
• 191 cm³

Multiple Choice

Find the volume of the hemisphere. Use 3.14 for Pi.

Round to the nearest tenth,.

(HINT: Hemishere is half a sphere)

• 904.3 in³

• 226.1in³

• 113.0 in³

• 452.2 in³

Multiple Choice

Find the surface area  of the sphere.

• 310.2 cm²
• 379.2 cm²
• 221.6 m²
• 456  cm²

Multiple Choice

For a sphere with a radius of 8, what is the Surface Area?

• 803.84

• 10096.2304

• 2143.573

• 100.48

Multiple Choice

What is the surface area?

• 6658.56 mm²

• 452.16 mm²

• 904.32 mm²

• 108.8 mm²

Multiple Choice

Find the surface area when r=21.5 inches.
Choose the correct units.

• 5805.9 in²
• 1849 in²
• 1849 in³
• 5805.9 in³

Multiple Choice

What is the surface area?

• 6658.56 mm²

• 452.16 mm²

• 904.32 mm²

• 108.8 mm²

Multiple Choice

Find the volume of the sphere. Use 3.14 for Pi.

Round to the nearest tenth.

• 5572.5 cm³

• 506.6 cm³

• 126.7 cm³

• 1393.1 cm³

Multiple Choice

Find the volume of the sphere. Use 3.14 for $\pi$ .  Round to nearest tenth.

• 78.5 $m^3$  

• 392.5 $m^3$  

• 523.3  $m^3$  

• 62.8  $m^3$  

Multiple Choice

Find the volume of the composite solid. Use 3.14 for Pi.

Round to nearest WHOLE number.

• about 19 ft³

• about 24 ft³

• about 29 ft³

• about 34 ft³

Multiple Choice

A piece of copper has a mass of 89g and a volume of 10 cm3.  What would be the density of the copper?

• 0.89 g/cm3
• 89 g/cm3
• 8.9 g/cm3
• 890 g/cm3

Multiple Choice

A city has a population of 8792 people. The area of the city is approximately 6.5 square miles. Approximately, how many people per square mile live in the city?

• 57148
• 208
• 1353
• 135

Multiple Choice

If a block of wood has a density of 0.6 g/cm³ and a mass of 120 g, what is its volume?

• 200 cm³
• 0.005 cm³
• 200.0 ml
• 72 ml

Multiple Choice

Find the density of a 2 cm x 2 cm x 2 cm cube with a mass of 64 g.  (Hint: find the volume first!)

• 6 cm³
• 12 g/cm³
• 128 g/cm³
• 8  g/cm³

Multiple Choice

If you have a gold brick that is 2 cm by 3 cm by 4 cm and has a density of 19.3 g/cm³, what is its mass?

• 463.2 g/cm³
• 463.2 g
• 0.804 kg
• 0.804 g

Multiple Choice

• 2.5 g/cm3

• 25 g/cm3

• 250 g/cm3

• 2,500 g/cm3