Albert drew a rectangular prism with the following dimensions:

Mathematics

1 answer:

raketka [301]2 years ago

7 0

The volume of the rectangular prism that Albert drew given its dimensions is 576 inches³.

<h3>What is the volume?</h3>

A rectangular prism is a three-dimensional object that is made up of six faces, 12 sides and 6 vertices. The volume of the rectangular prism can be determined by multiplying the dimensions of the figure together.

Volume = length x width x height

8 x 6 x 12 = 576 inches³

To learn more about rectangular prisms, please check: brainly.com/question/8890358

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Guys help me with this question.

Vladimir79 [104]

100/-24 = -4 :)))))))

8 0

3 years ago

Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3). 9 square units 18 square

Kruka [31]

9514 1404 393

Answer:

18 square units

Step-by-step explanation:

Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...

AB = 6√2

CD =3√2

The area is half the product of the base (AB) and height (CD) so is ...

A = 1/2bh = (1/2)(6√2)(3√2) = 18

The area of ΔABC is 18 square units.

_____

<em>Additional comment</em>

It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...

c² = a² +b²

c = 1² +1² = 2

c = √2