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### Course: Geometry (all content)ย >ย Unit 8

Lesson 2: Volume with fractions

# Volume of a rectangular prism: word problem

Mario has a fish tank shaped like a right rectangular prism. The tank is filled with marbles and water up to 6.4 cm. When the marbles are removed, the water level drops to 5.9 cm. The volume of water displaced by the marbles is found to be 56.16 cubic centimeters. Created by Sal Khan.

## Want to join the conversation?

• At I did not understand what he meant
• he means the marbles took up some water capacity and made it 6.4cm than when took out 5.9cm
• What is a right-rectangular prism, and what's the difference between right-rectangular prism and a rectangular prism?
• i don't know
• How would i find out the surface areas of various prisms?
• add all of the area of each face @Daniel Kim
• How many 0.5 cm x 0.5 cm x 0.5 cm cubes are needed to completely fill a rectangular prism measuring 4 cm x 3 cm x 3 cm?
• volume of unit cube = 0.5 cm x 0.5 cm x 0.5 cm
= 0.125 cm^3
volume of prism = 4 cm x 3 cm x 3 cm
= 36 cm^3
how many cubes are needed to fill = 36/0.125
= 288
Therefore, 288 cubes are needed to completely fill a
rectangular prism measuring 4 cm x 3 cm x 3 cm.
• What is the mathematical definition of a prism?
• This is from Google.'' A solid object with two identical ends and flat sides: โข The sides are parallelograms (4-sided shape with opposites sides parallel) โข The cross section is the same all along its length. The shape of the ends give the prism a name, such as "triangular prism" It is also a polyhedron.''
• I have 2 questions. 1. Why does the official name "VOLUME" named for sound. 2. Isn't Volume basically finding area of a 3D Shape?
• It's cubic because volume occupies a three dimensional space.
• Can we time it by base x height x wight and the decimal as the height
• No, actually the base is the length and width. So it would be base x height.
• does the shape of the rectangle have something to do with the anwser.
• no, the volom of the mavels will be the same in a fish tank or the sea.