Finding Surface Areas and Volumes of Prisms

Prisms Review (Surface Area and Volume)

Surface Area of Cubes and Rectangular Prisms

• Cube:  $SA\ =\ 6\cdot s^2\ \ OR\ \ \ 6\cdot s\cdot s$  

• Rectangular Prism:  $SA\ =\ 2\cdot l\cdot w\ +\ 2\cdot l\cdot h\ +\ 2\cdot w\cdot h$  

Multiple Choice

What is the surface area of the cube?

• $$384\ cm^2$$  

• $$64\ cm^2$$  

• $$512\ cm^2$$  

• $$3,072\ cm^2$$  

Multiple Choice

What is the surface area of the rectangular prism?

• $$71\ units^2$$

• $$107\ units^2$$

• $$142\ units^2$$

• $$105\ units^2$$

Multiple Choice

Find the surface area of the rectangular prism.

• $$280\ units^2$$

• $$131\ units^2$$

• $$156\ units^2$$

• $$262\ units^2$$

Multiple Choice

What is the surface area of a cube with side lengths of 15 inches?

• $$225\ in^2$$

• $$1,350\ in^2$$

• $$180\ in^2$$

• $$336\ in^2$$

Surface Area of Triangular Prisms

• Step 1: Find the area of the triangular bases.

• Step 2: Find the area of the rectangular lateral faces.

• Step 3: Find the surface area $SA=B+B+LF+LF+LF$  

Multiple Choice

Find the surface area of the regular triangular prism.

• $$220\ cm^2$$  

• $$260\ cm^2$$  

• $$340\ cm^2$$  

• $$480\ cm^2$$  

Multiple Choice

Find the surface area of the regular triangular prism.

• $$312\ cm^2$$  

• $$120\ cm^2$$  

• $$288\ cm^2$$  

• $$336\ cm^2$$  

Multiple Choice

Find the surface area of the triangular prism.

• $$135\ cm^2$$  

• $$279\ cm^2$$  

• $$207\ cm^2$$  

• $$3600\ cm^2$$  

Multiple Choice

Find the surface area of the triangular prism.

• $$96\ cm^2$$  

• $$102\ cm^2$$  

• $$360\ cm^2$$  

• $$84\ cm^2$$  

Volume of Rectangular Prisms

•  $V=l\cdot w\cdot h$  

• Remember to use cubic units!  $\left(cubic\ cm\rightarrow cm^3\right)\$  

Multiple Choice

What is the volume of the rectangular prism?

• $$54\ cm^3$$

• $$108\ cm^3$$

• $$144\ cm^3$$

• $$72\ cm^3$$

Multiple Choice

What is the volume of the rectangular prism?

• $$148.5\ ft^3$$

• $$297\ ft^3$$

• $$96.5\ ft^3$$

• $$192\ ft^3$$

Multiple Choice

What is the volume of the rectangular prism?

• $$172\ units^3$$

• $$86\ units^3$$

• $$112\ units^3$$

• $$144\ units^3$$

Multiple Choice

Jim is filling the box with packing peanuts. How many packing peanuts should he buy?

• $$120\ in^3$$

• $$82\ in^3$$

• $$164\ in^3$$

• $$240\ in^3$$

Mixed Review

Multiple Choice

How much wrapping paper would it take to wrap a cube that measures 3.6 inches on each side?

• $$43.2\ in^2$$

• $$77.76\ in^2$$

• $$12.96\ in^2$$

• $$46.656\ in^2$$

Multiple Choice

What is the surface area of the triangular prism?

• $$684\ ft^2$$

• $$792\ ft^2$$

• $$1,728\ ft^2$$

• $$2,160\ ft^2$$

Multiple Choice

Find the volume of the rectangular prism.

• $$71\ units^3$$

• $$107\ units^3$$

• $$142\ units^3$$

• $$105\ units^3$$

Multiple Choice

The school needs a box shaped like a rectangular prism that has a length of 5 ft, a width of 6 ft, and a height of 12 ft. If Tim has 350 square feet of wood, does he have enough to make the box?

• Yes

• No