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