Review the following concept if necessary: Surface Area of Prisms Study Guide.

**Surface Area of Prisms Practice Questions**

**Problems**

**Determine the length of each side**.

*HL*= ___*KL*= ___*GJ*= ___*GK*= ___*JI*= ___*LM*= ___- How many edges does a rectangular solid have?
- How many faces does a rectangular solid have?
- How many vertices does a rectangular solid have?
- How many vertices does any face touch?
- How many vertices have a length of 5 in.?
- How many edges come together at each vertex?

**Find the surface area of each rectangular prism.**

*l*= 9 in.,*w*= 3 in.,*h*= 5 in.*l*= 5 ft.,*w*= 10 ft.,*h*= 4 ft.*A*= 448 ft.^{2}*A*= 280 m^{2}

Working backward, find the missing edge length using the given information.

*l* = 14 ft.

*w* = ?

*h* = 6 ft.

*l* = 4 m

*w* = 4m

*h* = ?

**Find the surface area of each cube.**

- e = 5.8 cm
- If the surface area of a cube is 486 ft.
^{2}, find the length of each edge. - If the surface area of a cube is 726 in.
^{2}, find the length of one of its edges. - If the surface area of a cube is 73.5 ft.
^{2}, find the perimeter of its front face. - How many square inches of wrapping paper will Susie need to cover the blender box?
- What color paper will Susie use?

Working backward, find the missing edge length using the given information.

Use the following information to answer questions 29 and 30.

Susie bought a blender that came in a rectangular prism box with edges measuring 8 in., 12 in., and 18 in. She needs to wrap it as a gift and wants to use her blue wrapping paper, which measures 9 in. × 100 in. If she doesn't have enough blue, she will use her green paper, which is 12 in. × 80 in. If she doesn't have enough green, she will use her yellow paper, of which she has an endless supply. (Assume that there's no need for the edges of the wrapping paper to overlap; Susie simply needs to cover the entire box.)

**Answers**

- 5 in.
- 4 in.
- 9 in.
- 5 in.
- 4 in.
- 9 in.
- 12 edges
- 6 faces
- 8 vertices
- 4 vertices
- 4 vertices
- 3 edges
- 22 in.
^{2} - 78 ft.
^{2} - 158 m
^{2} - 200 cm
^{2} - 174 in.
^{2} - 220 ft.
^{2} *w*= 7 ft.*h*= 16 m- 96 ft.
^{2} - 216 cm
^{2} - 24 in.
^{2} - 294 m
^{2} - 201.84 cm
^{2} - 6
*e*^{2}= 486;*e*^{2}= 81;*e*= 9 ft. - 11 in.
- 14 ft.
- 912 in.
^{2} - green

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