Question

What is the lateral area of a right rectangular prism that has rectangular bases measuring 3" by 5" and a height of 6"?

Answer 1

The lateral area of a right rectangular prism that has rectangular bases measuring $3''{\text{ by 5''}}$ and a height of $6''$ is $\boxed{96{\text{ i}}{{\text{n}}^2}}$. Choice (A) is correct.

Further explanation:

Given:

The options are as follows,

(a).${\text{LA}} = 96{\text{ i}}{{\text{n}}^2}$

(b).${\text{LA}} = 95{\text{ i}}{{\text{n}}^2}$

(c).${\text{LA}} = 93{\text{ i}}{{\text{n}}^2}$

(d).${\text{LA}} = 98{\text{ i}}{{\text{n}}^2}$

Explanation:

The perimeter of the base can be calculated as follows,

$\begin{aligned}P&= 2 \times \left( {3 + 5} \right)\\&= 2 \times 8\\&= 16{\text{ in}}\\\end{aligned}$

The lateral area of a right rectangular prism that has rectangular bases can be obtained as follows,

$\begin{aligned}LA &= P \times h\\&= 16 \times 6\\ &= 96{\text{ i}}{{\text{n}}^2}\\\end{aligned}$

The lateral area of a right rectangular prism that has rectangular bases measuring $3''{\text{ by 5''}}$ and a height of $6''$ is $\boxed{96{\text{ i}}{{\text{n}}^2}}$. Choice (A) is correct.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: lateral area, right rectangular, prism, rectangle, area, rectangular bases, measuring, height, base area, rectangular prism, height of prism.

Answer 2

Answer:

The answer is the option A

$96\ in^{2}$

Step-by-step explanation:

we know that

The lateral area of a right rectangular prism is equal to

$LA=P*h$

where

P is the perimeter of the base

h is the height of the prism

Find the perimeter

$P=2*(3+5)=16\ in$

$h=6\ in$

substitute in the formula

$LA=16*6=96\ in^{2}$