25.05.2023

Which has the greater surface area: a 6- centimeter cube or a rectangular prism with a 3 centimeter square base and a height of 12 centimeters?

. 8

Faq

Mathematics
Step-by-step answer
P Answered by PhD

The prism

Step-by-step explanation:

The surface area of a cube is:

A=6L^2

where

L is the length of the side

For the cube in this problem,

L = 6 cm

So the surface area of the cube is

A=6\cdot 6^2 = 36 cm^2

The surface area of a rectangular prism with squared base is:

A=2L^2+4Lh

where

L is the length of the base

h is the height of the prism

For the prism in this problem,

L = 3 cm

h = 12 cm

Therefore,

A=2\cdot 3^2 + 4(3)(12)=162 cm^2

So, the prism has a greater surface area.

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

Mathematics
Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

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