Answer:
Question 1
SA = 143.2 ft²
V = 80 ft³
Question 2
SA = 862 cm²
V = 1136 cm³
Step-by-step explanation:
Surface area of a triangular prism = 2 x area of triangle + areas of rectangles
Question 1
Area of triangle = 1/2 x base x height
⇒ A = 1/2 x 4 x 5 = 10
Area of rectangle = width x length
**There are 3 different rectangles for this prism**
⇒ A = 4 x 8 = 32
⇒ A = 5 x 8 = 40
⇒ A = 6.4 x 8 = 51.2
Total surface area = (2 x 10) + 32 + 40 + 51.2 = 143.2 ft²
Volume of triangular prism = area of triangle x height
⇒ V = 10 x 8 = 80 ft³
Question 2
Area of triangle = 1/2 x base x height
⇒ A = 1/2 x 20 x 7.1 = 71
Area of rectangle = width x length
**There are 2 different rectangles for this prism as 2 sides of the triangle are congruent**
⇒ A = 12.5 x 16 = 200
⇒ A = 20 x 16 = 320
Total surface area = (2 x 71) + (2 x 200) + 320 = 862 cm²
Volume of triangular prism = area of triangle x height
⇒ V = 71 x 16 = 1136 cm³
