A rectangular prism measure 7 1/2 by 12 by 15 1/2

Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

What is the volume of the prism in cm? If you are stuck, think about how many cubes with 1/2-cm edge lengths fit into 1 cm.

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ifesynwajesuschrist ifesynwajesuschrist · Answer 1 · 2020-03-15T19:39:26+01:00

Answer:

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:

1/(1/8)= 8 cubes

facundo3141592 facundo3141592 · Answer 2 · 2022-01-11T11:43:10+01:00

By calculating the volume of both figures, we will see that 11,160 cubes can be fit in the prism.

So we start with a rectangular prism that measures (7 + 1/2)cm by 12cm by (15 + 1/2) cm.

The volume is just the product of these 3 values, so we get:

V = (7 + 1/2)cm*12cm*(15 + 1/2)cm = 1,395 cm^3

Now, a cube with an edge length of 1/2 cm has a volume of:

V' = (1/2cm)^3 = 0.125 cm^3

To see how many of the small cubes enter in the prism, we just need to take the quotient between these two volumes, this is:

V/V' = ( 1,395 cm^3)/(0.125 cm^3) = 11,160

This means that 11,160 of the cubes can be fit in the prism.

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490