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This figure represents a compartment in a container for storing craft supplies. Another compartment is identical except that it is 4 centimeters taller.

What is the difference in volume of the two compartments?

Enter your answer in the box.

cm³

This figure represents a compartment in a container for storing craft supplies Another compartment is identical except that it is 4 centimeters taller What is t class=

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tristanjackson44

Answer:

280cm^3

Step-by-step explanation:

Find the volume of the original container (490), and subtract that from the volume of the second container (770) to get 280cm^3.

The difference in the volume that the two compartments have:

280 [tex]cm^3[/tex]

Find the volume

Given that,

Sum of parallel sides = 15cm + 5cm

= 20 cm

Height = 7 cm

[tex]= 4 cm[/tex]

To find,

The volume of the compartment = Area of base × Height

= {(1/2) × 20} × 7}  × 7

= 490 [tex]cm^2[/tex]   ...(i)

Now,

The new compartment's height = 7 + 4

= 11 cm

Volume for the new compartment = Area of base × Height

= 70 × 11

= 770 [tex]cm^3[/tex]    ...(ii)

Now,

To find the difference in the volumes,

(ii) - (i)

= 770 - 490

= 280 [tex]cm^3[/tex]

Thus, 280 [tex]cm^3[/tex] is the correct answer.

Learn more about "Volume" here:

brainly.com/question/1578538

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