Question

ISS YB PRACTICE d to the nearest hundredth if necessary. 2. Find the surface area. I cm 12 in 12 in 25 in. 19:

Answer 1

We have a rectangular prism.

The surface area is the sum of the area of the faces.

We have 3 pairs of faces. Each pair has two pair of measures for the sides, so, if the sides are a=12, b=12 and c=25, we can calculate the surface area as:

`\begin{gathered} S=2\cdot a\cdot b+2\cdot a\cdot c+2\cdot b\cdot c \\ S=2\cdot12\cdot12+2\cdot12\cdot25+2\cdot12\cdot25 \\ S=2\cdot144+2\cdot300+2\cdot300 \\ S=288+600+600 \\ S=1488in^2 \end{gathered}`

Answer: the surface area is 1488 square inches.

NOTE: if we want the surface in square feet we can do:

`S=1488in^2\cdot((1ft)/(12in))^2=1488in^2\cdot(1ft^2)/(144in^2)\approx10.33ft^2`

The surface area is approximately 10.33 square feet.