Find the volume of the rectangular prism.
2 answers:
The equation for the volume of a rectangular prism is:
V = lwh
where V = volume, l = length of base, w = width of base, and h = height of the prism.
From your picture, you can see that the length, l = 16cm, width, w = 9cm, and the height of the prism, h = 4cm. Plug these numbers into the equation and solve for volume:
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Answer: D) 576 cm^3
V = lwh
where V = volume, l = length of base, w = width of base, and h = height of the prism.
From your picture, you can see that the length, l = 16cm, width, w = 9cm, and the height of the prism, h = 4cm. Plug these numbers into the equation and solve for volume:
--------
Answer: D) 576 cm^3
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</span><span>If ΔYWZ ~ ΔYXW
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</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
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In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°
Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.
Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
Now, in any triangle, the sum of all the three angles is 180.
In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°
Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.