How much cardboard will be needed to make the box? 4 feet by 3 feet with a height of 2 feet

52 ft²

Step-by-step explanation:

When you are calculating the amount of cardboard needed to make a box, you are trying to the the surface area.

The formula for surface area of a rectangular prism is:

SA = 2(lw + hl + wh)

The dimensions for the box are written l X w X h (length times width times height).

We know:

l = 4

w = 3

h = 2

The units for surface area is the unit squared. Feet squared is ft². Be sure the include the units.

Substitute these numbers into the formula. When solving, solve in the BEDMAS order (brackets, exponents, division and multiplication, addition and subtraction).

SA = 2(lw + hl + wh) u²

SA = 2((4*3) + (2*4) + (3*2)) ft²      Multiply within each smaller bracket

SA = 2(12 + 8 + 6) ft²          Add inside the brackets

SA = 2(26) ft²        Multiply

SA = 52 ft²         Final answer

Therefore 52 square feet of cardboard will be needed to make the box.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq