answer a: 261.75 ft²
answer b: 228 ft³
answer c: Miranda needs to increase the length of the tent from 9.5 to 10.45.
explanation(answer a):
The volume of a figure is the amount of space occupied by a three dimensional shape.
The volume of the triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²
Surface area of prism = 2(24) + 2(9.5 * 7.25) + (9.5 * 8) = 261.75 ft²
explanation (answer b):
The volume of tent = area of triangle * height = 24 ft² * 9.5 ft = 228 ft³
The amount of material needed by Miranda is 261.75 ft² and the volume of the tent is 228 ft³
explanation (answer c):
If the specifications for the height (6 feet) and the width (8 feet) must stay the same, then Miranda needs to increase the length of the tent by 10%.
9.5+9.5×0.1=10.45