Quiz about Surface Areas, Volumes, and Revolution of Solids

Question 1

The base of a square pyramid has an area of 100 in² and a perimeter of 40 in. If the surface area of the pyramid is 280 in², then what is the slant height?

Accepted Answer

9 in

Answer

8 in

Answer

160 in

Answer

2.25 in

Question 2

Find the surface area of the figure. Where the diameter is 8.6 ft.
Round your answer to the nearest hundredth.
Use the formula: $$SA=4\pi r^2$$

Accepted Answer

232.35 $$ft^2$$

Answer

116.18 $$ft^2$$

Answer

928.94 $$ft^2$$

Answer

58.06 $$ft^2$$

Question 3

Find the volume of the given sphere.

Accepted Answer

4,188.8 cubic ft

Answer

418.7 cubic ft

Answer

3,984.6 cubic ft

Answer

4,319.8 cubic ft

Question 4

Find the surface area of this triangular prism. Note the base is an equilateral triangle.

Accepted Answer

312 cm2

Answer

184 cm2

Answer

200 cm2

Answer

164 cm2

Question 5

If there are 100 butterflies in this cube, what is the number of butterflies per cubic cm?

Accepted Answer

$$3.7\ \frac{butterflies}{cm^3}$$

Answer

$$2700\frac{butterflies}{cm^3}$$

Answer

$$11.1\ \frac{butterflies}{cm^3}$$

Answer

$$0.27\frac{butterflies}{cm^3}$$

Question 6

Find the lateral surface area. Use pi for pi. The diameter is 18. Round to the nearest tenths.

Accepted Answer

197.9

Answer

7121.5

Answer

1780.4

Answer

395.6

Question 7

Find the slant height of the pyramid.

Accepted Answer

25 cm

Answer

28 cm

Answer

21 cm

Answer

24 cm

Question 8

If the ratio of the areas of two similar figures is 64:121, what is the ratio of their volumes?

Accepted Answer

512:1331

Answer

64:121

Answer

8:11

Answer

120:242

Question 9

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

Accepted Answer

31.4 cm3

Answer

16.4 cm3

Answer

31.7 cm3

Answer

22.0 cm3

Question 10

Find the volume.

Accepted Answer

1343.4

Answer

1112.3

Answer

1423.2

Answer

1500.6

Surface Areas, Volumes, and Revolution of Solids

20 questions

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

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

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

What is the volume of the shape?

The base of a square pyramid has an area of 100 in² and a perimeter of 40 in. If the surface area of the pyramid is 280 in², then what is the slant height?

Find the volume of the given sphere.

Find the surface area of this triangular prism. Note the base is an equilateral triangle.

What is the volume of rectangular pyramid?

If there are 100 butterflies in this cube, what is the number of butterflies per cubic cm?

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Surface Areas, Volumes, and Revolution of Solids

20 questions

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

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

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

What is the volume of the shape?

The base of a square pyramid has an area of 100 in2 and a perimeter of 40 in. If the surface area of the pyramid is 280 in2, then what is the slant height?

Find the volume of the given sphere.

Find the surface area of this triangular prism. Note the base is an equilateral triangle.

What is the volume of rectangular pyramid?

If there are 100 butterflies in this cube, what is the number of butterflies per cubic cm?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The base of a square pyramid has an area of 100 in² and a perimeter of 40 in. If the surface area of the pyramid is 280 in², then what is the slant height?