The volume of a box is given by V = 2x3-11x2 +10x +8. One side is (x - 4) and another side is (2x + 1).
2 answers:
Answer:
The length of the third side is ( x - 2 )
Step-by-step explanation:
Volume of a box is the product of its length, width and height.
Volume of box = length × width × height.
One side is (x - 4) and another side is (2x + 1).
These given sides can be either length, height or width.
The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.
Product of the two given sides =
( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4
= 2x^2 - 7x - 4
The long division is shown on the attached photo
The length of the third side is ( x - 2 )
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Answer:
Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces
step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height
step 3
Find the area of the base of the rectangular prism
step 4
Find the surface area
i. 171
ii. 162
iii. 297
Solution,
n(U)= 630
n(I)= 333
n(T)= 168
i. Let n(I intersection T ) be X
Hope this helps...
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