Question

A block of gold has length 5.62 cm, width 6.35 cm, and height 2.78 cm. . Now multiply the rounded result of part (a) by the height and again round, obtaining the volume. Let this be 𝑉1. 

Answer 1

The area of the block's base is:

$$A = L\times W$$

where $L = 5.62cm$ is the length, and $W = 6.35cm$ is the width. Thus, obtain:

$$A = 35.687cm^2\approx35.69cm^2$$

The volume is then:

$$V1= A\times H$$

where $H = 2.78cm$ is the height. Thus, obtain:

$$V1 = 35.69cm^2\times 2.78cm =99.2182 cm^3 \approx 99.22cm^3$$

Answer. 99.22 cm^3.