Question

question 26 points 2 the dimensions of a rectangular prism are 12 cm x 15 cm x 18 cm. if the dimensions of the rectangular prism are increased by 3 then find the volume of the new prism. 2,670 cm³ 3,240 cm³ 1,620 cm³ 5,670 cm³

Explanation:

Step1: Calculate the original volume

The volume formula for a rectangular prism is \(V = l\times w\times h\). Given original dimensions \(l = 12\space cm\), \(w=15\space cm\), \(h = 18\space cm\).
\(V_{original}=12\times15\times18\)
\(V_{original}=3240\space cm^{3}\)

Step2: Calculate the new dimensions

If each dimension is increased by \(3\), new dimensions are \(l_{new}=12 + 3=15\space cm\), \(w_{new}=15+ 3 = 18\space cm\), \(h_{new}=18+3=21\space cm\)

Step3: Calculate the new volume

\(V_{new}=15\times18\times21\)
\(V_{new}=5670\space cm^{3}\)

Answer:

\(5670\space cm^{3}\)