Question

# Marilda has a block of modeling clay that is 8 inches by 5 inches by 3 inches. She is experimenting with different shapes that can be made from the cl

Modeling
Marilda has a block of modeling clay that is 8 inches by 5 inches by 3 inches. She is experimenting with different shapes that can be made from the clay. Give your answers to the nearest tenth. What size could could she make from the clay?

$$\displaystyle{V}={s}^{{3}}$$
$$\displaystyle{120}={s}^{{3}}$$
$$\displaystyle{3}\sqrt{{120}}={3}\sqrt{{s}}^{{3}}$$
$$\displaystyle{4.9}\sim{s}$$
From part a), the volume of the clay is $$\displaystyle{120}\in^{{3}}$$ so let the volume of the cube be $$V=120$$. Substitute this into the formula for the volume of a cube and solve for the side length of the cube s. Use a calculator to evaluate and round to the nearest tenth.