Question

Please help thank you!!

Answer 1

a. V = 420 cm³

b. V = 444 in³

c. V = 108 cm³

d. V = 324 m³

Explanation:

We have the rectangular prisms.

The formula of a volume of a rectangular prism is:

`V=lwh`

l - length

w - width

h - height

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Look at the picture.

a.

Two congruent rectangular prisms 14cm × 3cm × 5cm.

`V=2(14\cdot3\cdot5)=420\ cm^3`

b.

One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:

`V=15\cdot4\cdot6+7\cdot4\cdot3=360+84=444\ in^3`

c.

One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:

`V=10\cdot3\cdot2+4\cdot3\cdot4=60+48=108\ cm^3`

d.

One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:

`V=10\cdot3\cdot6+8\cdot3\cdot6=180+144=324\ m^3`