Question

Find the surface area and volume of the composite figure. PLS I NEED HELP!!!

Answer 1

21.02 yd²

Explanation:

Formulas

Area of a triangle = ¹/₂ × base × height

Area of a rectangle = width × length

The surface area of the given composite figure is made up of:

• 2 triangles with base of 2.4 yd and height of 0.9 yd.
• 2 rectangles with width of 1.3 yd and length of 1.5 yd.
• 2 rectangles with width of 1.3 yd and length of 1.6 yd.
• 2 rectangles with width of 2.4 yd and length of 1.6 yd.
• 1 rectangle with width of 2.4 yd and length of 1.3 yd.

Total Surface Area:

`= 2\left((1)/(2) \cdot 2.4 \cdot 0.9\right)+2(1.3 \cdot 1.5)+2(1.3 \cdot 1.6)+2(2.4 \cdot 1.6)+(2.4 \cdot 1.3)`

`= 2(1.08)+2(1.95)+2(2.08)+2(3.84)+3.12`

`= 2.16+3.90+4.16+7.68+3.12`

`=21.02\; \sf yd^2`