Question

A right rectangular prism is shown. Find the surface area of this prism. Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.80 square feet164 square feet196 square feet220 square feet

Answer 1

196 square feet

Step-by-step explanation

The surface area of a prism is the sum of the areas of all the faces of the figure. In the case of a rectangular prism, 3 pairs of faces have the same area.

One of those pairs is the base and top, whose measures are 10 feet by 8 feet,

`A_(base)=10ft\cdot8ft=80ft^2`

The lateral faces also have the same area, and their measures are 8 ft by 1 ft,

`A_(lateral)=8ft\cdot1ft=8ft^2`

Finally, the third pair of congruent faces is the front and back faces, whose measures are 10 feet by 1 foot,

`A_(front)=10ft\cdot1ft=10ft^2`

The surface area is,

`SA=2A_(base)+2A_(lateral)+2A_(front)=2\cdot80ft^2+2\cdot8ft^2+2\cdot10ft^2=160ft^2+16ft^2+20ft^2=196ft^2`

Hence, the surface area of this rectangular prism is 196 square feet.