All categories

3 years ago

A company is trying to calculate the amount of

Mathematics

1 answer:

g100num [7]3 years ago

8 0

Answer:

$0.19\,\,cubic\,\,feet$

Step-by-step explanation:

Given:

The concrete block is a rectangular prism with two cubes cut out. The cubes have a side length of 6 inches.

To find: total volume, cubic feet, of concrete needed to make this block

Solution:

Side of cube = 6 inches

Volume of cube = $(side)^3=6^3=216\,\,cubic\,\,inches$

So, volume of two cubes = 2(216) = 432 cubic inches

Length of rectangular prism = 12 inches

Breadth of rectangular prism = 8 inches

Height of rectangular prism = 8 inches

Volume of rectangular prism = length × breadth × height = $12(8)(8)=768 \,\,cubic\,\, inches$

Total volume of concrete needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = $\frac{336}{1728} =0.19\,\,cubic\,\,feet$

( use 1 cubic inch = $\frac{1}{1728} \,\,feet$ )

You might be interested in

The surface area of the cube is 54 square feet. What is the length, in feet, of one edge of the cube?

Brut [27]

Answer:

3 ft

Step-by-step explanation:

A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.

54/6 = 9 ft^2

Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.

5 0

3 years ago

Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th

Drupady [299]

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

$area = 2*\pi*r^2 + 2*\pi*r*h$

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

$area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}$

The surface area of the drum is 3317.5218 square inches.

4 0

3 years ago

I would like to know the value of b and c

Ratling [72]

Answer:

a = 3, b = 8, c = 14

Step-by-step explanation:

First, we can organize this, putting lower values first.

2, 3, 3, 5, 9, 9, 11, 12

a , b , c somewhere there

Given this information, one thing we can look at first is the mode. The mode is 3, so there must be more 3s than any other number. Currently, there are 2 3s and 2 9s, so there must be at least one more 3 and no more 9s to make that true. Therefore, a, b, or c is 3. Therefore, we have

2, 3, 3, 3, 5, 9, 9, 11, 12

2 of a, b, c somewhere in there

Next, the median is 8. In our current state, the median is 5. There are 9 numbers, with 11 total including the 2 remaining values. Because there will be an odd amount of values, the median must be a number on the list. Therefore, our list is

2, 3, 3, 3, 5, 8, 9, 9, 11, 12

1 of a, b, c somewhere in there

There are 4 numbers above the median and 5 numbers below right now. To balance this out, there must be another number above the median. As a consequence, the remaining value must be greater than 8.

Finally, we know that the range is 12, so maximum - minimum = 12. Because the remaining number must be greater than 8, the minimum number is 2, no matter what. Therefore,

maximum - 2 = 12

add 2 to both sides to isolate maximum

maximum = 14

There is no 14 currently on the list, so the remaining value must be 14.

Our a, b, and c are as follows, in order from smallest to largest:

3, 8, 14

8 0

3 years ago

**Jane found money in her pocket. She went to a convenience store and spent 1/4 of her money on chocolate milk, 3/5 of her money

valentina_108 [34]

Answer:

3/20

Step-by-step explanation:

1/1-1/4-3/5= (money spent)

1×4×5/(1×4×5)-1×1×5/(1×4×5)-3×1×4/(1×4×5)

20/20-5/20-12/20

(20-5-12)/20=3/20

8 0

3 years ago

Read 2 more answers

Convert 0.5kg to ounces

Marysya12 [62]

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

6 0

3 years ago

Read 2 more answers