Answer:
Step-by-step explanation:
The formula for determining the total surface area of a rectangular prism is expressed as
Total surface area = 2lw + 2wh + 2lh
Where
l represents the length = 16
w represents the width = 11
h represents the height = 10
Total surface area = (2 × 16 × 11) + (2 × 11 × 10) + (2 × 16 × 10) = 352 + 220 + 320 = 892 mm²
The formula for determining the total surface area of a triangular prism is expressed as
Total surface area = ph + 2b
p represents perimeter of base
h represents height of prism
b represents base area
From the information given,
h = 16
b = 1/2base × height = 1/2 × 11 × 8 = 44 mm²
to determine the perimeter of the base, we would determine the slant height, l by applying Pythagoras theorem.
Hypotenuse² = opposite side² + adjacent side²
l² = 11² + 8² = 185
l = √185 = 13.6
p = 13.6 + 11 + 8 = 32.6 mm
Total surface area = (32.6 × 16) + (2 × 44) = 521.6 + 88 = 609.6 mm²
