All categories

3 years ago

How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

Mathematics

2 answers:

lys-0071 [83]3 years ago

6 0

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

$Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}$

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

$Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}$

Volume = 315/32 inches

Therefore, to find the amount of cubes;

$Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}$

Substituting into the equation, we have;

$Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}$

$Number \; of \; cubes = \frac {315}{32} * 64$

$Number \; of \; cubes = 315 * 2$

Number of cubes = 630

Natasha2012 [34]3 years ago

5 0

gggggggggggggggggggggggggggg

You might be interested in

-20y + 15 = 2 - 16y + 11

shtirl [24]

In order to answer this, we will first need to combine like terms on each side. on the left, you can leave them alone. however on the right, we will need to combine 2 and 11. this is 13. the right side becomes 13-16y. after that, we can add 20y to both sides. that equals 15=13+4y now we can subtract 13 from both sides. 2=4y. then we divide by 4 on both sides to find y. y=.5

7 0

3 years ago

What is the unit rate of 128 dog food for 16 dogs

Sauron [17]

Answer:

128 ÷ 16 = 8

so 8 dog food for every dog

7 0

3 years ago

if 4 people want tk use a canoe that can only hold up to 800 pounds and they have 60 pounds of gear, what must the average weigh

bekas [8.4K]

Answer:

185 pounds

800 - 60 = 740

740 ÷ 4 = 185

6 0

3 years ago

If x = 4cosa and y = 5tana, find (x^2/16) - (y^2/25)

Cloud [144]

$x = 4 \cos(a)$

$\frac{x}{4} = \cos(a) \\$

$( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\$

$\frac{ {x}^{2} }{16} = {cos}^{2} (a) \\$

_____________________________________________

$y = 5 \tan(a)$

$\frac{y}{5} = \tan(a) \\$

$( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\$

$\frac{ {y}^{2} }{25} = {tan}^{2} (a) \\$

_____________________________________________

Thus ;

$\frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\$

${cos}^{2} (a) - {tan}^{2} (a)$

3 0

2 years ago

Is h(x)=6 a linear equation, explain

puteri [66]

A linear equation is an equation for a straight line. And yes that is a linear equation. Because<span> it is of the form h(x) = mx + b where m=0 and b = 23 h(x) = mx + 23</span>

8 0

3 years ago