Answer: 3.84 m
Step-by-step explanation: The biggest clue here is that the scale factor is 1:12.
1:12=32:
To find , multiply 32 by 12. 32x12 is 384. You can't say the answer is 384, however, since the label for the actual water tower says "m" for meters instead of "cm" like for the model. 384 cm is equal to 3.84 m.
Hope this helped! ;)
Answer:
1900 cm²
Step-by-step explanation:
We can use the given ratios and volume to find the scale factor for the dimensions. Knowing the dimensions, we can compute the surface area using the formula for a cuboid.
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<h3>dimensions</h3>
Let k represent the scale factor. Then the actual dimensions will be 5k, 4k, and 2k. The actual volume will be ...
V = LWH
5000 cm³ = (5k)(4k)(2k) = 40k³
k³ = (5000 cm³)/40 = 125 cm³
k = ∛(125 cm³) = 5 cm
The cuboid dimensions are 5(5 cm) = 25 cm, 4(5 cm) = 20 cm, and 2(5 cm) = 10 cm.
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<h3>area</h3>
The surface area of the cuboid can be computed from ...
A = 2(LW +H(L +W))
A = 2((25 cm)(20 cm) +(10 cm)(25 +20 cm))
A = 2(500 cm² +(10 cm)(45 cm)) = 2(950 cm²) = 1900 cm²
The surface area of the cuboid is 1900 cm².
