Question

Please please help me

Find the total surface area.
A. 131.7 mi²
B. 143.4 mi²
C. 198.6 mi²
D. 99.5 mi²

Answer 1

B. 143.4
`\text{mi} ^2`

Explanation:

In simple terms, surface area = adding area of all surfaces

This figure has 6 sides.

Surface area = 2 * area of trapezium + 2* area rectangle + area of bottom rectangle + area top rectangle

Surface area = 2 * (
`((a+b)/(2)) * h + 2* (l*w) + l*w + l*w`)

=
`2 * ((3+6)/(2) * 2.6) + 2* (8*3) + 3*8 + 8*6`

=
`2 * 11.7 + 2* 24 + 24 + 48`

= 143.4
`\text{mi}^(2)`

Let me know if you need further explanation