Answer:
1. a) 8 cm × 8 cm = 64 sq cm
b) (64 cm²) × 6 squares = 384 sq cm
2. 152 sq cm
Explanation:
1. The area of any rectangle is the product of its length and width. For a square, length and width are the same. The square faces of your die have length and width of 8 cm, so the area is (8 cm) × (8 cm) = 64 sq cm.
A cube has 6 faces of identical size, so the total surface area is 6 times the area of one face. Your cube's surface area is 6 × 64 sq cm = 384 sq cm.
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2. A rectangular prism (cuboid) has 6 faces—3 pairs that are the same size. The area is the total of the areas of these pairs of faces. It can be computed by ...
A = 2(LW + WH + LH)
For your rectangular prism, this is ...
A = 2((8 cm)×(6 cm) + (6 cm)×(2 cm) + (8 cm)×(2 cm))
= 2(48 sq cm + 12 sq cm + 16 sq cm)
= 2×(76 sq cm)
= 152 sq cm