Ramona is painting the entire surface of a block of wood in the shape of a right rectangular prism. The block of wood has a leng
th of 8 in., a width of 3 in., and a height of 5 in. What is the total area she will paint?
2 answers:
Answer:
158 in²
Step-by-step explanation:
Data:
l = 8 in
w = 3 in
h = 5 in
Calculations:
Front + Back = 2 × (8 in × 5 in) = 2 × 40 in² = 80 in²
Top +Bottom = 2 × (8 in × 3 in) = 2 × 24 in² = 48 in²
Two ends = 2 × (5 in × 3 in) = 2 × 15 in² = <u>30 in²
</u>
Area = 158 in²
Ramona will paint 158 in² of surface.
Surface Area of the top and bottom =
2•8•3 = 48 in²
Surface Area of the lateral side rectangle =
(8+8+3+3) • 5 = 110 in²
Total Surface Area = 48+110 = 158 in²
Answer: 158 in²
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