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marishachu [46]
3 years ago
6

Mary wants to make a box she starts with a piece of cardboard whose length is 15cm and width is 10cm then she cuts them in congr

ats square with side 3cm at he four comes what is the area of the cardboard after she cuts the 4 comes
Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

V = 108 cm^3

the volume of the box is 108 cm^3

Corrected question;

Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box?

Step-by-step explanation:

The volume of a box V is;

V = length × breadth × height

V = l×b×h ......1

Length l of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of length 15 cm is;

l = 15 - 2(3) = 9 cm

Breadth b of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of breadth 10 cm is;

b = 10 - 2(3) = 4 cm

Height of the box is the length of the squares cut;

h = 3 cm

Substituting the values into equation 1;

V = 9 × 4 × 3 cm^3

V = 108 cm^3

the volume of the box is 108 cm^3

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If a(x) = 3x + 1 and b(x)= squareroot x-4, what is the domain of (b*a)(x)?
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\boxed{ \ x \geq 1 \ } or can be written as \boxed{ \ [1, \infty) \ }

<h3>Further explanation</h3>

This is a question about the composition of functions and how to get a domain function.

Given \boxed{ \ a(x) = 3x + 1 \ } and \boxed{ \ b(x) = \sqrt{x - 4} \ }.

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To be defined, the value under the radical sign must not be negative. Therefore, the domain of (b \circ a)(x) = \sqrt{3x - 3} are processed as follows.

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