Algebraic Techniques, SM-Bank 083

A rectangular prism is known to have a length of \(5\) cm, a width of \(3\) cm and a height of \(x+2\) cm. Write an expression for the volume of the prism, giving your answer in simplest form. (3 marks)

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\((15x+30)\ \text{cm}^3\)

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\(\text{Volume}\)	\(=\text{length}\times\text{width}\times\text{height}\)
	\(=5\times 3\times (x+2)\)
	\(=15\times (x+2)\)
	\(=15\times x +15\times 2\)
	\(=(15x+30)\ \text{cm}^3\)