What is the length of the diagonal in a rectangular prism that measures 8 mm by 14 mm by 6 mm? Round your answer to the nearest tenth. 16.1 mm 17.2 mm 25.9 mm 28.0 mm

16.1 mm to the nearest tenth.

Step-by-step explanation:

The diagonal we are looking for will be the line that runs between two opposite corners of the rectangle, and through the center of the rectangle.

The dimensions of the rectangle are given as 8 mm by 14 mm by 6 mm ( Length, Breadth, Height)

We can form a right angled triangle between the diagonal, the length and the height, with the diagonal being the hypotenuse.

The next step is to use the Pythagoras' Theorem to solve for the hypotenuse side of the triangle.

This will be

diagonal =

diagonal = = 16.12 mm

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

d. all of the above

step-by-step explanation: