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Nitella [24]
3 years ago
5

A rectangular pyramid measures three feet by four feet at the base, and has a height of seven feet. Find its volume. A. 21 ft3 B

. 42 ft3 C. 28 ft3 D. 84 ft3
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

Answer:

C. 28 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid:

V = \frac{1}{3}Bh, where B = the area of the base and h = height of the pyramid

Since the base is a rectangle, we can find area using the formula:

A = l x w or A = 3 x 4 = 12 ft²

Using B = 12 and h = 7:

V = \frac{(12)(7)}{3}

V = 28 ft³

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What's the answer?????????????
Taya2010 [7]

Answer:

BD = 12 :)

Step-by-step explanation:

Alright, we'll need the Pythagorean theorem for this!

So, the length of AC is 10. That means the lengths of AD and DC are both half of that, which is 5 :)

DC = 5

We already know that BC = 13, so we can plug in these values into the pythagorean theorem for the right triangle BDC:

BD^2 + DC^2 = BC^2

BD^2 + 5^2 = 13^2

BD^2 + 25 = 169

BD^2 = 169 - 25 = 144

BD = √144 = 12 :)

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