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Vitek1552 [10]
3 years ago
12

Michael is putting 12 boxes in a storage shed. Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 f

eet by 2 feet. If the storage shed has dimensions 6 feet by 10 feet by 8 feet, how much room will be left after Michael stores the boxes?
Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0

Answer:

Volume of room will be left after Michael stores the boxes 426 feet cube

Step-by-step explanation:

It is given that

Michael is putting 12 boxes in a storage shed.

Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 feet by 2 feet.  

If the storage shed has dimensions 6 feet by 10 feet by 8 feet,

<u>To find the volume of one box </u>

Volume = 1.5 x 1.5 x 2= 4.5 feet cube

Volume of 12 such box = 4.5 x 12 =54 feet cube

<u>To find the volume of shed </u>

Volume of Shed = 6 x 10 x 8 =480

<u> To find remaining portion of shed</u>

Volume of room will be left after Michael stores the boxes      =volume of shed - volume of box

 =480 - 54 = 426 feet cube

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Leni [432]

Answer:

Translation (x,y) = (-3,+3)

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2 years ago
-0.75-(-2/5)+0.4+(-3/4)
RSB [31]

-0.75-(-2/5)+0.4+(-3/4) =  -0.7 simplified, how I got this answer can be found below in 16 steps.

1 - First thing we want to do is remove the parentheses.

-0.75 - (-2/5) + 0.4 - 3/4

2 - Then we simplify, multiply -1 by -1.

-0.75 + 1 (2/5) + 0.4 - 3/4

3 - Then multiply 2/5 by 1.

-0.75 + 2/5 + 0.4 - 3/4

4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.

-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4

5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.

-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4

6 - Then we multiply 5 by 1.

-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4

7 - Then we combine the numerators over the common denominator.

-0.75*5+2/5+0.4-3/4

8 - We multiply -0.75 by 5.

-3.75 + 2/5 + 0.4 - 3/4

9 - Then we add -3.75 and 2.

-1.75/5+0.4-3/4

10 - And then we divide -1.75 by 5.

-0.35 + 0.4 - 3/4

11 - Then add -0.35 and 0.4.

0.05 - 3/4

12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.

0.05/1 * 4/4 - 3/4

13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.

0.05 * 4/4 - 3/4

14 - We combine the numerators over the common denominator.

0.05 * 4 - 3 / 4

15 - We simplify.

-2.8 / 4

16 - Then we divide -2.8 / 4

The final answer is -0.7

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