Question

Kathy found the volume of the figure using the expression (4 * 3 * 8) + (10 * 3 * 4). Sandy found the volume of the figure using the expression (3 * 10 x 4) + (4 * 3 * 4). Use the drop-down menus to explain who is correct. 10 cm Click the arrows to choose an answer from each menu, The expression for the volume of the figure was correctly determined by Choose... because the figure was divided into two rectangular → prisms that Choose...

Answer 1

1(sandy is correct)

2(do not overlap

Explanation:

Answer 2

The correct options are;

1) Sandy is correct

2) The figure was divided into two rectangular prisms that are calculated separately

Explanation:

Here we have to divide the figure into two rectangular prisms so as not to calculate for a dimension twice

Therefore, the figure can be split into a horizontal prism at the top with dimensions and volume = 10 × 4 × 3 and the vertical prism below will now have a dimension and hence, volume of 4 × 4 × 3

Therefore the volume of the figure is the sum of the volumes of the two prisms found as follows;

Volume of the figure = 10 × 4 × 3 + 4 × 4 × 3 = 168

We can try the othe way to confirm as follows

Volume of the prism below = 4 × 3 × 8 = 96

Volume of the horizontal prism above is now = 4 × 3 × 6 = 72

Volumre of the figure = 96 + 72 = 168

Therefore, since the volume = (10 × 4 × 3) + (4 × 4 × 3), Sandy is correct

Because the figure was divided into two rectangular prisms that are calculated separately.