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Find the total outside surface area and volume of the solid object in picture

Find the total outside surface area and volume of the solid object in picture-example-1

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Total outer Surface area of the solid object = 2254 in²

Volume of the trapezoid prism = 6840 in³

Step-by-step explanation:

Surface area of the solid object = Area of all the sides that make up the solid

The solid is a trapezoid prism.

Surface area = 2(area of the trapezoid) + 2(area of rectangle by the side) + area of square on top + area of square at the base

Area of the trapezoid = 1/2 (base1 + base 2) × height

base 1 = 14 in, base 2 = 24 in

Area of the trapezoid = 1/2 (14 + 24) × 15

Area of the trapezoid = 285 in²

Area of rectangle = length × width

length = 24 in, width = 19 in

Area of the rectangle by the side = 24 × 19

Area of the rectangle by the side = 456 in²

Area of square at the top = (length)²

length = 14 in

Area of square at the top = 14²= 196 in²

Area of square at the base = (length)²

length = 24 in

Area of square at the base = 24² = 576 in²

Total outer Surface area of the solid object = 2(285) + 2(456) + 196 + 576

Total outer Surface area of the solid object = 2254 in²

Volume of trapezoid prism = Base Area × height between trapezoid ends

Base area = 1/2 (base 1 + base 2) × 15

Base area = 1/2 (14 + 24) = 285

height = 15

Volume of the trapezoid prism = 285 × 24

Volume of the trapezoid prism = 6840 in³

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