Free Printable 12.3 Surface Area of Cones & Pyramids

1.

What is the exact total surface area of the cone?

a)

$SA=\left(3\pi+9\pi\sqrt{2}\ \right)units^2$

b)

$SA=9\pi\sqrt{2}units^2$

c)

$SA=\left(9\pi+27\pi\sqrt{2}\right)units^2$

d)

$SA=\left(9\pi+9\pi\sqrt{2}\right)\ units^2$

2.

What is the lateral area?

a)

449.88 mi²

b)

1704 mi²

c)

650.94 mi²

d)

899.75 mi²

3.

A paper party hat, like the one shown, has a slant height of 6 inches and a height of 5 inches. How many square feet of cardboard would be needed to create this hat?

a)

62.5 in.²

b)

10 in.²

c)

50 in.²

d)

22.5 in.²

4.

Find the surface area of the cone. Leave your answer in terms of pi.

a)

12π m²

b)

16π m²

c)

24π m²

d)

8π m²

5.

Find the surface area

a)

1276.3m²

b)

824.7m²

c)

1649.3m²

d)

3534.3m²

6.

Sketch the solid that can be created from the net. Label the dimensions.

a)

b)

c)

d)

7.

Find the total surface area in terms of $\pi$ . Round to the nearest whole number $\$

a)

A

b)

B

c)

C

d)

D

8.

Find the lateral surface area. Round to the nearest hundredths.

a)

A

b)

B

c)

C

d)

D

9.

Find the total surface area of the composite figure. Write your answer in terms of $\pi.$

a)

$48\pi\ in^2$

b)

$42\pi\ in^2$

c)

$46\pi\ in^2$

d)

$38\pi\ in^2$

10.

Which of the following is the slant height of the pyramid. CHECK ALL THAT APPLY.

a)

$17.720\ ft.$

b)

$\sqrt{314\ }ft.$

c)

$\sqrt{389\ }ft.$

d)

$19.723\ ft.\$

e)

$5\sqrt{12.56}ft.$

11.

Find the approximate surface area of the pyramid. Round your answer to the nearest thousandths.

a)

$SA=423.000\ in^2$

b)

$SA=297.960\ in^2$

c)

$SA=329.004\ in^2$

d)

$SA=329.400\ in^2$

12.

Find the exact surface area of the pyramid.

a)

$\left(160+8\sqrt{190}\right)\ meters^2$

b)

$\left(40+80\sqrt{19}\right)\ meters^2$

c)

$\left(40+8\sqrt{190}\right)meters^2$

d)

$\left(160+80\sqrt{19}\right)\ meters^2$

13.

Find the surface area of the pyramid. No units needed in your answer.

(a)

14.

What is the SURFACE AREA of this pyramid? SA=

a)

$117\ m^2$

b)

$729\ m^2$

c)

$243\ m^2$

d)

$81\ m^2$

15.

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Square Pyramid

d)

Square Prism

12.3 Surface Area of Cones & Pyramids

Total questions: 15

Worksheet time: 52mins

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