Free Printable 11.1.2: Surface area of Pyramids

1.

_{Find the Surface Area. Enter a number only.}

(a)

2.

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Square Pyramid

d)

Square Prism

3.

A square pyramid is covered with decorative wrapping paper with no overlap. The net of the box is shown on the right. How many square centimeters of wrapping paper are needed to cover the surfaces of the box?

(a)

4.

Find the surface area of the triangular pyramid. Note: the base is equilateral.

a)

123.6 sq. feet

b)

116.8 sq. feet

c)

127.9 sq. feet

d)

130.9 sq. feet

5.

Find the surface area of the hexagonal pyramid.

a)

634.1 sq. meters

b)

1,609.1 sq. meters

c)

2779.1 sq. meters

d)

2340 sq. meters

6.

Find the surface area of the square pyramid.

Enter a number only.

(a)

7.

Find the surface area of the pyramid. Round your answers to the nearest tenth, if necessary.

a)

594 cm²

b)

297 cm²

c)

269.9 cm²

d)

164.5 cm²

8.

Each face of the triangular pyramid (tetrahedron) is 16 cm². What is the total surface area of the tetrahedron?

(a)

9.

Find the surface area of the triangular prism.
Recall: $SA\ =\ \left(perimeter\ of\ base\right)\cdot\left(H\right)+2\left(base\ area\right)$

(a)

10.

Find the volume of the triangular prism.
Remember $V=\left(base\ area\right)\cdot\left(H\right)$

(a)

11.

Find the total surface area of the cylinder.
Leave your answers in terms of $\pi$ .
Recall: $SA=2\pi r\cdot h+2\pi r^2$

a)

$32\pi$ square inches

b)

$80\pi$ square inches

c)

$96\pi$ square inches

d)

$24\pi$ square inches

12.

Find the surface area of the cylinder.
Leave your answers in terms of $\pi$
Recall: $SA=2\pi r\cdot h+2\pi r^2$

a)

$150\pi$ square centimeters

b)

$75\pi$ square centimeters

c)

$100\pi$ square centimeters

d)

$125\pi$ square centimeters

13.

Find the volume of the cylinder.
Leave your answer in terms of $\pi$
Recall: $V=\pi r^2\cdot h$

a)

$90\pi$ cubic inches

b)

$30\pi$ cubic inches

c)

$78\pi$ cubic inches

d)

$180\pi$ cubic inches

14.

Find the volume of the solid shown in the figure.
Leave your answers in terms of $\pi$
Recall: $V-\pi r^2\cdot h$

a)

$1440\pi$ cubic meters

b)

$720\pi$ cubic meters

c)

$360\pi$ cubic meters

d)

$192\pi$ cubic meters

15.

Find the volume of this prism:

Enter a number only.

(a)

16.

Find the volume of the hexagonal prism. The base area is given.

(a)

17.

What is the surface area of the tent?
Note: The base is the triangle
Recall: $SA\ =\ \left(Perimeter\ of\ base\right)\left(H\right)+2\left(base\ area\right)$

(a)

18.

Find the surface area of the pyramid.

(You must find the slant height first by using the Pythagorean theorem)

a)

84 un²

b)

96 un²

c)

144 un²

d)

156 un²

19.

Find the slant height of the pyramid.

(Hint: Use the Pythagorean theorem)

Enter a number only.

(a)

20.

Find the surface area of the pyramid. You must find the slant height first using the Pythagorean Theorem.

a)

384 m²

b)

336 m²

c)

624 m²

d)

276 m²

11.1.2: Surface area of Pyramids

Total questions: 20

Worksheet time: 5hrs 0mins

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