All categories

3 years ago

Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy

Mathematics

1 answer:

djverab [1.8K]3 years ago

5 0

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that 36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

You might be interested in

Question 28 of 42

lina2011 [118]

Answer with explanation:

Properties of Rectangle

1. Opposite sides are equal and parallel.

2. Diagonals are equal and bisect each other.

3. Adjacent Sides are Perpendicular to each other.

→If two lines are parallel their slopes are equal and if two Lines are perpendicular, their product of slopes is -1.

→A Rectangle is a Quadrilateral also.

→Adjacent sides are perpendicular ,so , their slopes can't be equal.Product of their slopes should be equal to ,-1.

⇒Slope of AB × Slope of BC = -1

⇒Also, Slope of AB × Slope of BC = -1

Slope of AB × Slope of AD = -1

⇒ Slope of AD × Slope of CD = -1

Slope of CB × Slope of CD = -1

Option B And Option C

are statement which proves that polygon ABCD is not a rectangle.

5 0

3 years ago

One number is 8 a first number . A third number is 100 more than the first number . If the sum of three numbers is 750, find the

zloy xaker [14]

x+(x+8)+(x+100)=750
3x+108=750
3x=642
x=214
So your numbers are 214, 222 and 314

6 0

3 years ago

What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that

AlladinOne [14]

This question is incomplete.

The complete question says;

The two-way table shows the number of hours students studied and whether they studied independently or with a study group.

What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently?

a) 0.4 c) 0.25

b) 0.33 d) 0.11

Table is attached as image

Answer: C (0.25)

The number of students that studied for more than 2 hours as given in the table are 4.

The total number of people that studied independently include those that studied less than 2 hours and those that studied for more than 2 hours.

Those that studied less than 2 hours independently are 12.

Those that studied more than 2 hours independently are 4.

Hence the total number of people that studied independently is 16.

Therefore the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently would be = 4/16 = 1/4 = 0.25.