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A rectangular block has square base of area 64 cm². If the thickness of the block is 5 cm, find its total surface area. ​

2 Answers

4 votes

Answer:

288 cm²

Explanation:

The square base has an area of 64 cm².

That means the sides of the square base measure 8 cm.

The perimeter of the base is P = 4 * 8 cm = 32 cm.

The lateral area is Ph = 32 cm * 5 cm = 160 cm².

The two bases are congruent, and their combined area is 2 * 64 cm² = 128 cm².

The total surface area equals the sum of the lateral area and the area of the bases.

SA = 160 cm² + 128 cm²

SA = 288 cm²

User Guish
by
7.9k points
3 votes

Answer:

total surface area of cube is 6 * area of one side

therefore area of one side is given 64cm^2

thickness is also given 5cm .

TSA is 64*5 = 320cm^2

hope it is helpful

User Carter Sande
by
7.3k points

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