To find the total surface area (TSA) and lateral surface area (LSA) of a cuboid, you can use the following formulas:
TSA = 2(LW + WH + LH)
LSA = 2H(L + W)
Let's calculate it for both cases:
A) For the first cuboid with dimensions:
L = 13 m
B = 10 m
H = 8.5 m
TSA = 2(13 m * 10 m + 10 m * 8.5 m + 8.5 m * 13 m)
TSA = 2(130 m² + 85 m² + 110.5 m²)
TSA = 2(325.5 m²)
TSA = 651 m²
LSA = 2 * 8.5 m * (13 m + 10 m)
LSA = 2 * 8.5 m * 23 m
LSA = 391 m²
B) For the second cuboid with dimensions:
L = 24 cm
B = 6 cm
H = 10 cm
TSA = 2(24 cm * 6 cm + 6 cm * 10 cm + 10 cm * 24 cm)
TSA = 2(144 cm² + 60 cm² + 240 cm²)
TSA = 2(444 cm²)
TSA = 888 cm²
LSA = 2 * 10 cm * (24 cm + 6 cm)
LSA = 2 * 10 cm * 30 cm
LSA = 600 cm²
So, for the first cuboid, the TSA is 651 square meters, and the LSA is 391 square meters. For the second cuboid, the TSA is 888 square centimeters, and the LSA is 600 square centimetres
Answers & Comments
To find the total surface area (TSA) and lateral surface area (LSA) of a cuboid, you can use the following formulas:
TSA = 2(LW + WH + LH)
LSA = 2H(L + W)
Let's calculate it for both cases:
A) For the first cuboid with dimensions:
L = 13 m
B = 10 m
H = 8.5 m
TSA = 2(13 m * 10 m + 10 m * 8.5 m + 8.5 m * 13 m)
TSA = 2(130 m² + 85 m² + 110.5 m²)
TSA = 2(325.5 m²)
TSA = 651 m²
LSA = 2 * 8.5 m * (13 m + 10 m)
LSA = 2 * 8.5 m * 23 m
LSA = 391 m²
B) For the second cuboid with dimensions:
L = 24 cm
B = 6 cm
H = 10 cm
TSA = 2(24 cm * 6 cm + 6 cm * 10 cm + 10 cm * 24 cm)
TSA = 2(144 cm² + 60 cm² + 240 cm²)
TSA = 2(444 cm²)
TSA = 888 cm²
LSA = 2 * 10 cm * (24 cm + 6 cm)
LSA = 2 * 10 cm * 30 cm
LSA = 600 cm²
So, for the first cuboid, the TSA is 651 square meters, and the LSA is 391 square meters. For the second cuboid, the TSA is 888 square centimeters, and the LSA is 600 square centimetres
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