Volume and Surface Area #2

Last updated 12 months ago

12 questions

Volume and Surface Area #2

Last updated 12 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.

Side length = _______ 

Perimeter = _______ 

Area = _______ 

Side length = _______ 

Perimeter = _______ 

Area = _______ 

Apothem length = _______ 

Perimeter = _______ 

Area = _______ 

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

Apothem length = _______ 

Perimeter = _______ 

Area = _______

Apothem length = _______ 

Perimeter = _______ 

Area = _______ 

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.

V=\pi r^{2}h 
SA=2\pi r^2+2\pi rh 

Volume = _______ 

Surface Area = _______ 

Volume = _______ 

Surface Area = _______ 

h= _______ 

s= _______ 

Volume = _______ 

Surface Area = _______

***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 = _______

The hexagon is a regular hexagon, so all sides are equal.

apothem length = _______ 

Perimeter = _______ 

Volume = _______ 

Surface Area = _______

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 = _______