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Volume, SM-Bank 024 MC

The measurements of the prisms below are all in centimetres.

Which prism has the capacity to hold exactly 2 litres of water?

A. B.
C. D.
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\(D\)

Show Worked Solution

\(1\ \text{cm}^3=1\ \text{mL}\ \ \Longrightarrow\ 1000\ \text{cm}^3=1000\ \text{mL}=1\ \text{L}\)
 

\(\text{Option A:}=50\times 10\times 40=20\ 000\ \text{cm}^3\ \Longrightarrow 20\ \text{L}\)

\(\text{Option B:}=20\times 100\times 50=100\ 000\ \text{cm}^3\ \Longrightarrow 100\ \text{L}\)

\(\text{Option C:}=200\times 200\times 200=8\ 000\ 000\ \text{cm}^3\ \Longrightarrow 8000\ \text{L}\)

\(\text{Option D:}=10\times 10\times 20=2000\ \text{cm}^3\ \Longrightarrow 2\ \text{L}\ \checkmark\)
 

\(\Rightarrow D\)

Filed Under: Prisms Tagged With: num-title-ct-core, smc-4980-30-Rectangular, smc-4980-70-Capacity

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