Question

Help please will mark brainliest only if correct

Answer 1

Answer:

33 units³

Step-by-step explanation:

Volume of a rectangular prism

$\sf Volume = Area\:of\:base \times height$

From inspection of the given diagram:

• Area of base = 9 units²
• Height = 3 ²/₃ units

Substitute the given values into the formula and solve for volume:

$\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}$

Learn more about rectangular prisms here:

brainly.com/question/27976394

Answer 2

$\boxed{\sf Volume=Area\:of\:base\times Height}$

$\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}$

$\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}$

$\\ \tt\dashrightarrow Volume=3(11)$

$\\ \tt\dashrightarrow Volume=33units³$