Prisms Review (Surface Area and Volume)

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