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Volume and Surface Area #2

Last updated 9 months ago
12 questions
Find the area of each regular polygon using the formula A=\frac{1}{2}ap .
Even though you can use your 30-60-90 and 45-45-90 triangle rules, round all answers to the nearest tenth.

When possible, keep exact answers in your calculator until you get your final answer. Put only numeric answers without units for each problem in this section.
3
Side length = _______

Perimeter = _______

Area = _______
3
Side length = _______

Perimeter = _______

Area = _______
3
Apothem length = _______

Perimeter = _______

Area = _______
3
The side length is 5.9 inches. You must use trig to find the length of the apothem.

Apothem length = _______

Perimeter = _______

Area = _______
3
Apothem length = _______

Perimeter = _______

Area = _______
3
The apothem length is 3.2 units long. You need to use trig to find the side length.

Side Length = _______

Perimeter = _______

Area = _______
For each solid below, find the surface area and volume.

Use V=Bh to find each volume

To find the surface area, add the areas of the faces.

Round all answers to the nearest tenth. When possible, keep exact answers in your calculator until you get your final answer. If your answer uses \pi in the calculation, you may leave your answers in terms of \pi. Be sure to include units in all answers in this section.
2
V=\pi r^{2}h
SA=2\pi r^2+2\pi rh

Volume = _______

Surface Area = _______
2

Volume = _______

Surface Area = _______
4
h= _______

s= _______

Volume = _______

Surface Area = _______
5
***Note: The line indicated by 10 cm is the radius of the pentagon. You must use trig to find the apothem and side length. The pentagon is a regular pentagon, so all sides are equal.

apothem length = _______

side length = _______

Perimeter = _______

Volume = _______

Surface Area = _______
4
The hexagon is a regular hexagon, so all sides are equal.

apothem length = _______

Perimeter = _______

Volume = _______

Surface Area = _______
6
The nonagon (9-sided figure) is a regular nonagon, so all sides are equal. The 4.4 ft indicates the radius of the nonagon. The 10 ft is the height of the prism. You must use trig to find the length of the apothem and the side length.
Apothem Length = _______

Side Length = _______

Perimeter = _______

Area of Base = _______

Volume = _______

Surface Area = _______