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
<h3>How to determine the values</h3>
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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