Answer:
Total surface area = 132 square feet
Step-by-step explanation:
Surface area of the triangular prism = Area of the triangular bases + Area of the lateral rectangular sides
Area of the triangular surface =
=
= 10 square feet
Area of the rectangular side with dimensions 5ft by 7ft,
Area = 5 × 7 = 35 square feet
Area of the rectangular side with dimensions 7ft by 4ft,
Area = 7 × 4 = 28 square feet
Area of the rectangular side with dimensions 7ft by 7ft,
Area = 7 × 7 = 49 square feet
Total surface area = 2(10) + 35 + 28 + 49
= 132 square feet
The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8
The situation forms a right angle triangle.
<h3>How to find an angle in a right triangle?</h3>The angle R can be found as follows:
using trigonometric ratios,
sin R = opposite / hypotenuse
Therefore,
opposite sides = 6
hypotenuse = 8
sin R = 6 / 8
R = sin⁻¹ 6 / 8
learn more on right triangle here: brainly.com/question/6322314
#SPJ1
