17 . A square piece of tin of side 24cm is to be made into box without top by cutting a square from each corner and folding up the flaps to form a box 1) The length ,breadth and height of the box formed in terms of x are (24 -2x , x, 24-2x ) В) (24-2х, 24-2х, х) С) (х, 24-2х, 24- 2х) D (x ,x, x ) RAF 18 2)Volume V of the box xpressed in terms of x is A (24 B b)æ3 © x2 (24 – 2x) D x (24 – 2x)? 19 3)Maximum value of volume of box is A) 256 B 512 1024 D 2048 20 4)The value of x when volume is maximum is A) 12 B) 8 © 4 D) 2
17 . A square piece of tin of side 24cm is to be made into box without top by cutting a square from each corner and folding up the flaps to form a box 1) The length ,breadth and height of the box formed in terms of x are (24 -2x , x, 24-2x ) В) (24-2х, 24-2х, х) С) (х, 24-2х, 24- 2х) D (x ,x, x ) RAF 18 2)Volume V of the box xpressed in terms of x is A (24 B b)æ3 © x2 (24 – 2x) D x (24 – 2x)? 19 3)Maximum value of volume of box is A) 256 B 512 1024 D 2048 20 4)The value of x when volume is maximum is A) 12 B) 8 © 4 D) 2
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:17 . A square piece of tin of side 24cm is to be made into box without top by cutting a
square from each corner and folding up the flaps to form a box
1) The length ,breadth and height of the box formed in terms of x are
A
(24 -2х , х, 24-2х)
В) (24-2х, 24-2х, х)
(х, 24-2х, 24- 2х)
(x ,x, x )
18 2)Volume V of the box expressed in terms of x is
RAF
A (24 – 2x ) 3
B b)a3
© x? (24 – 2x)
x (24 – 2x)2
19 3)Maximum value of volume of box is
A) 256
B) 512
C) 1024
(D) 2048
20 4)The value of x when volume is maximum is
(A) 12
B) 8
4
D 2
21 The cost of box ,if rate of making the box is Rs 5 per cm² , when volume is
maximum
(A) 2840
B) 3840
2040
D) 3480
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