Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

andrey is making a garden box and wants to know how much dirt is needed…

Question

andrey is making a garden box and wants to know how much dirt is needed to fill the box. which statement is correct about the amount of dirt that will fill the entire box? the space inside the box is the surface area, which is 128 ft³. the space inside the box is the surface area, which is 192 ft³. the space inside the box is the volume, which is 128 ft³. the space inside the box is the volume, which is 192 ft³.

Explanation:

Step1: Recall the definitions

The space inside a 3 - D object is volume, not surface area. Surface area is the sum of the areas of all the faces of the object.

Step2: Calculate the volume of the rectangular prism

The formula for the volume \(V\) of a rectangular prism is \(V = l\times w\times h\). Here, \(l = 8\) ft, \(w = 8\) ft, \(h = 3\) ft.

$$ LATEXBLOCK0 $$

Answer:

The space inside the box is the volume, which is \(192\space ft^{3}\).