A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4

Mathematics

2 answers:

Snezhnost [94]3 years ago

7 0

Answer:

192

Step-by-step explanation:

Step 1:

The volume of the prism is 3 cubic units. This means the prism can be filled with 3 unit cubes.

Step 2:

How many cubes with 1/4-unit side lengths can fit in a cube with 1-unit side lengths?

Step 3:

There are 64 cubes with 1/4-unit side lengths in 1 cubic unit.

Step 4:

Since the rectangular prism is made up of 3 cubic units, we would have 3*64 total cubes with 1/4-unit side lengths.

3*64=192

Step 5:

It takes 192 of the 1/4 unit cubes to fill the prism.

ruslelena [56]3 years ago

6 0

Answer:

192

Step-by-step explanation:

The volume of a prism is 3 cubic units. Dividing each cube into 1/4 size cubes means each small cube will have 1/64 cubic inches.

This means 64 1/4 cubes fit into 1 cube. So for 3 cubes, 3*64 = 192 cubes.

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Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4, and AC=9. Are points A,

LenKa [72]

Two or more points are said to be collinear if they lie on the same straight line.

Given a straight line XY, with a point P on the straight line between point X and Y, then
XP + PY = XY

From the question, it was given that AB = 7 and BC = 4, so if A, B, C are colinear, then
AB + BC = AC
i.e. 7 + 4 = 11

But, from the equation, AC = 9.

Therefore, points A, B and C are not collinear.

7 0

3 years ago

Any one that knows this please help thanks!

Dmitry [639]

Just replace the x in the question with -2, and the y with 2.

Therefore, you're doing ((-2)(2²))/7 which is -2 times 2 squared all over 7.

-2 × 2² = -8

-8/7 is your answer.

6 0

4 years ago

Read 2 more answers

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