All categories

3 years ago

How many 1-inch cubes will fit into a 3 and 1/2 in rectangular prism?

1 answer:

7 0

Suppose the height of the prism is 1 in, then the volume will be:
volume=length×width×height
thus
volume of the prism will be:
V=3×1/2×1
V=1.5 in³

Volume of the cube will be:
v=1×1×1=1 in³
Thus the number of cubes that will be in the prism will be:
(1.5 in³)/(1 in³)
=1.5 cubes~2 cubes

You might be interested in

Whats the Diameter? I really need help understanding this

Arada [10]

Answer:

1.8 in.

Step-by-step explanation:

Hi there!

<u>1) Determine the radius of the base</u>

$V=\frac{1}{3} \pi r^2h$ where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

$3.6=\frac{1}{3} \pi r^2(4.2)$

Isolate r; divide both sides by 4.2

$\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2$

Multiply both sides by 3

$\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2$

Divide both sides by π

$\frac{18}{7\pi }=r^2$

Take the square root of both sides

$\sqrt{\frac{18}{7\pi }} =r$

<u>2) Determine the diameter</u>

Now that we have the radius, to find the diameter, multiply r by 2:

$d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8$

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.

I hope this helps!

3 0

3 years ago

Read 2 more answers

Write 5^10 in standard form

sattari [20]

Ten over five. hope this helps and sorry if im wrong

8 0

3 years ago

Please answer fast

Anastasy [175]

10 units right then 10 units down

5 0

3 years ago

Read 2 more answers

A bag contains colored tiles 6 tiles are green 3 tiles are blue 3 tiles are red a tile will be randomly selected from the bag. W

baherus [9]

Answer:

6/12 = 0.5

Step-by-step explanation:

you add all the other tiles plus the green and then you do the green divided by that number

7 0

2 years ago

Read 2 more answers

In your own words, what is Probability? Give a real life example.

Mrrafil [7]

Answer:

Probability is a mathematical term for the likelihood that something will occur. It is the ability to understand and estimate the likelihood of any different combination of outcomes. Let’s discuss some real-life examples of Probability 1. Weather Forecasting Before planning for an outing or a picnic, we always check the weather forecast.

Step-by-step explanation:

5 0

3 years ago