Question

a metal frame is made by welding together four bars of steel. each bar has an area of cross section of 8.2cm². the volume of metal used in making the frame is closest to:

Explanation:

Step1: Calculate the total length of the bars

The frame has two bars of length \(27\) cm and two bars of length \(19\) cm.
The total length \(L=(2\times27 + 2\times19)\) cm.

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Step2: Calculate the volume of the metal

The volume \(V\) of a prism (in this case, the metal frame) is given by \(V=\text{Cross - sectional Area}\times\text{Length}\).
Given the cross - sectional area \(A = 8.2\space\text{cm}^2\) and length \(L=92\space\text{cm}\)

$$V=8.2\times92$$

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Answer:

\(754.4\space\text{cm}^3\)