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xz_007 [3.2K]
2 years ago
12

Please help thank you!!

Mathematics
1 answer:
Dmitry [639]2 years ago
4 0

Answer:

<h2>a. V = 420 cm³</h2><h2>b. V = 444 in³</h2><h2>c. V = 108 cm³</h2><h2>d. V = 324 m³</h2>

Step-by-step explanation:

We have the rectangular prisms.

The formula of a volume of a rectangular prism is:

V=lwh

l - length

w - width

h - height

==========================================

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

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