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3 years ago

I will mark Brainiest (no links please)

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Are the volumes equal? No, so throw out the first and the last one.

Is the volume of the pyramid greater than the volume of prism?

No, so throw out the third one

so by inspection it must be the remaining one

or mathematically

vol pyramid = (1/3)(base)(height)

vol prism = (base)(height)

vol pyramid / vol prism

(1/3)(base)(height) / (base)(height) = 1/3

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The base of a right circular cylinder has a diameter of 5.00 inches. Sally measured the circumference of the base cylinder and r

LUCKY_DIMON [66]

Answer:

The percent of error in her measurement is 1.3%

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

we have

$D=5\ in$

assume

$\pi=3.14$

substitute

$C=(3.14)(5)=15.7\ in$ ----> This value represent the 100% (theoretical value)

Find the difference between the theoretical value and the measured value

$15.7-15.5=0.2\ in$

Find the percentage by proportion

$15.7/100=0.2/x\\ x=100*0.2/15.7\\ x=1.3\%$

4 0

4 years ago

Find the surface area of the following figure.

fgiga [73]

Answer:

$\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.$

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

$\qquad\boxed{\sf Area_{(square)}= side^2}$

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}$

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

$\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}$

$\rule{200}2$

Hence the TSA of cuboid in terms of lenght and breadth is :-

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}$