Respuesta :
Answer:
She can double the base length of the base so that the new volume is 120 cubic inches
Step-by-step explanation:
The method she can use to double the volume of triangular pyramid is she can double the base length of the base so that the new volume is 120 cubic inches.
What is triangular pyramid?
A tetrahedron, also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedral and the only one that has fewer than 5 faces.
Volume of triangular pyramid :
Volume of triangular pyramid = 1/3 × Base Area × Height
According to the question
Naomi made a triangular pyramid from cardboard.
The triangular base has a height = 4 inches
The triangular base has a base length = 15 inches
The height of the pyramid = 6 inches
Therefore,
Base area of triangular pyramid
= [tex]\frac{1}{2} * Base\ of\ triangle * Height\ of\ triangle[/tex]
= [tex]\frac{1}{2} * 15 * 4[/tex]
= 30 [tex]inches ^{2}[/tex]
So,
Volume of triangular pyramid = 1/3 × Base Area × Height
= [tex]\frac{1}{3}[/tex] × 30 × 6
= 60 [tex]inches ^{3}[/tex]
Now,
Naomi wants to double the volume of the triangular pyramid
i.e
New Volume of triangular pyramid = 120 [tex]inches ^{3}[/tex]
Which can be obtain if she can double the base length of the base
Hence, the method she can use to double the volume of triangular pyramid is she can double the base length of the base so that the new volume is 120 cubic inches.
To know more about triangular pyramid here:
https://brainly.com/question/24046619
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