A model of a tractor-trailer is shaped like a rectangular prism and has a width of 2 in., a length of 11 in., and a height of
1 answer:
Answer:
The volume of the actual tractor-trailer is 2992 in³
Step-by-step explanation:
To determine how many times the volume of the model is the volume of the actual tractor-trailer,
First, we will determine the volume of the model tractor-trailer.
Since, the model tractor trailer is shaped like a rectangular prism, the volume of the model tractor-trailer can be calculated using the formula for volume of a rectangular prism.
Volume of rectangular prism = length × width × height
From the question,
length = 11 in
width = 2 in
and height = 4 in
∴ Volume of model tractor-trailer = 11 in × 2 in × 4 in
Volume of model tractor-trailer = 88 in³
From the question,
The scale of the model is 1 font size decreased by 10 : 34 font size decreased by 10.
That is 1 : 34
Then, if the the volume of the actual tractor-trailer is y, we can write that
Then,
y = 88 × 34
y = 2992 in³
Hence, the volume of the actual tractor-trailer is 2992 in³.
You might be interested in
Ooh this is a good one!
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)
For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
So now, the hypotenuse (RT) = 2s = 2(2) = 4
Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4
x = 4 IS THE FINAL ANSWER!!!
[ i hope by my explanations you understand how better to do special right triangles in the future] :-D
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)
For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
So now, the hypotenuse (RT) = 2s = 2(2) = 4
Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4
x = 4 IS THE FINAL ANSWER!!!
[ i hope by my explanations you understand how better to do special right triangles in the future] :-D