Answer:
a. V = 420 cm³
b. V = 444 in³
c. V = 108 cm³
d. V = 324 m³
Step-by-step explanation:
We have the rectangular prisms.
The formula of a volume of a rectangular prism is:
[tex]V=lwh[/tex]
l - length
w - width
h - height
==========================================
Look at the picture.
a.
Two congruent rectangular prisms 14cm × 3cm × 5cm.
[tex]V=2(14\cdot3\cdot5)=420\ cm^3[/tex]
b.
One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:
[tex]V=15\cdot4\cdot6+7\cdot4\cdot3=360+84=444\ in^3[/tex]
c.
One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:
[tex]V=10\cdot3\cdot2+4\cdot3\cdot4=60+48=108\ cm^3[/tex]
d.
One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:
[tex]V=10\cdot3\cdot6+8\cdot3\cdot6=180+144=324\ m^3[/tex]
