Question

Which has the greater volume:a box that measures 10cmby 6cm by 4cm or one that measures 6cm by 6cm by 7cm?

Answer 1

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Answer 2

The second box has the greater volume.

Step-by-step explanation:

A cuboidal box will have volume V = LWH cubic units if its length is L, width is W and height is H.

Now, the first cuboidal box has measures 10 cm by 6 cm by 4 cm.

So, its L = 10 cm , W = 6 cm and H = 4 cm.

So, its volume V = 10 × 6 × 4 = 240 cubic cm.

Again, the second cuboidal box has measures 6 cm by 6 cm by 7 cm.

So, its L' = 6 cm , W' = 6 cm and H' = 7 cm.

So, its volume V' = 6 × 6 × 7 = 252 cubic cm.

Therefore, the second box has a greater volume as V' > V. (Answer)