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The formula of a volume of a rectangle prism:

[tex]V=lwh[/tex]

l - length

w - width

h - height

The larger rectangle prism:

[tex]l = 10cm,\ w=7cm,\ h=4cm[/tex]

Substitute:

[tex]V_1=(10)(7)(4)=280\ cm^3[/tex]

The smaller rectangle prism:

[tex]l=3cm,\ w=7cm,\ h=5cm[/tex]

Substitute:

[tex]V_2=(3)(7)(5)=105\ cm^3[/tex]

Total volume:

[tex]V=V_1+V_2\to V=280\ cm^3+105\ cm^3=385\ cm^3[/tex]

Answer: C. 385 cm³.

The combined volume is 385 cm³

What is a rectangular parallelepiped?

  • A rectangular parallelepiped is a polyhedron with six faces, which is also known as a hexahedron, each of which is a parallelogram.
  • Volume of a rectangular parallelepiped can be calculated by multiplying its length , breadth and height.

How to calculate the combined volume?

  • The two boxes can be said to have a shape of rectangular parallelepiped.

For the lower box, the volume will be = (7 x 10 x 4) cm³ = 280 cm³

For the upper box, the volume will be = (7 x 5 x 3) cm³ = 105 cm³

  • Now, for the combined volume, we need to add the individual volumes of the two boxes.

∴  Combined volume will be equal to = ( 280 + 105) cm³ = 385 cm³

Option C is correct.

Find more about "Rectangular Parallelepiped" here: https://brainly.com/question/9294977

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