Question

Use formulas to find the lateral area and surface area of each prism.

Answer 1

6. The lateral and surface areas are 624 square inches,  719 square inches respectively

7. The lateral and surface areas are 967. 12 meter square, 1274. 84 meter square respectively

10. Number of card boards = 36

11. The surface area = 400 cm²

How to determine the values

6. The formula for lateral area of a triangular prism is given as;

Lateral area = ( a + b + c ) h

Lateral area = ( 10 + 6 + 10 ) 24

Lateral area = 624 square inches

Surface area = = (S1 + S2+ S3)L + bh

Surface area = ( 10 + 6 + 10 ) 24 + 10(9.5)

Surface area = 624 + 95

Surface area = 719 square inches

7. The formula for lateral surface area of a cylinder is expressed as;

Lateral area = 2πrh

Lateral area = 2 × 3. 14 × 7 × 22

Lateral area = 967. 12 meter square

Surface area = 2πrh + 2πr²

Surface area = 2 × 3. 14 × 7 × 22 + 2 × 3. 14 × 7 × 7

Surface area = 967. 12 + 307. 72

Surface area = 1274. 84 meter square

10. Formula for surface area of a cuboid

Surface area = 2lw+2lh+2hw

substitute the values

Surface area = 2(2 × 8) + 2 ( 2 × 11) + 2(11 × 8)

Surface area  = 2(16) + 2(22) + 2(88)

Surface area  = 32 + 44 + 176

Surface area  = 252 square inches

Number of card boards = 252/ 7 = 36

11. The formula for surface area of a cuboid

Surface area = 2 ( lw + lh + hw)

Surface area = 2 ( 10(15) + 10(6) + 6(15) )

Surface area = 2 ( 50 + 60 + 90)

Surface area = 400 cm²

Thus, the lateral and surface areas are 624 square inches, 719 square inches respectively.

Learn more about surface area here:

brainly.com/question/76387

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