Respuesta :
Answer:
Option C is correct
C. The volume is the product of the area of the base, (2x – 1)(x – 3), and the height, x + 4.
Step-by-step explanation:
Lisa is going to make a sculpture from a rectangular block of clay the volume of the block is (2x-1)(x-3)(x+4)
For a rectangular block, the volume is given as
V = (Length) × (Breadth) × (Height)
The Area of the rectangular block's base is given as
A = (Length) × (Breadth)
So, the volume of the rectangular block is now easily expressed as
V = (Area of the base of the block) × (Height)
So, if
Length = (2x-1)
Breadth = (x-3)
And height = (x+4)
Area of base = (2x-1)(x-3)
And the volume of the block will simply be
V = A × height = (2x-1)(x-3)(x+4)
And from the option, it is evident that this is the only correct option as all the other options are wrong.
Hope this Helps!!!
Question:
Lisa is going to make a sculpture from a rectangular block of clay. the volume of the block is (2·x – 1)(x – 3)(x + 4). which statement about the volume of the block of clay is true?
a. the volume is the product of the length, 2·x – 1, and the width, x – 3.
b. the volume does not depend on the length, 2·x – 1.
c. the volume is the product of the area of the base, (2·x – 1)(x – 3), and the height, x + 4.
d. the volume is the sum of the length, 2·x – 1, the width, x – 3, and the height, x + 4.
Answer:
The correct option is;
c. the volume is the product of the area of the base, (2·x – 1)(x – 3), and the height, x + 4.
Step-by-step explanation:
Here we have the formula for the volume of rectangular block is given as;
Volume = Length × Width × Height
And the formula for the area of the base is
Area of Base = Length × Width
If the length of the rectangular block is
Length = 2·x-1 and
The width = x - 3
Therefore, the area of the base = Length × Width
= (2·x - 1) × (x -3)
From which the volume of the rectangular block can be given as
Area of base × Height
Volume = (2·x - 1) × (x -3) × (x + 4).
