Question

due friday november 21, 2025
name: aleka daniels
please show all of your work clearly for credits.
q1. ∠a and ∠b are supplementary angles. if ∠a = 61°, find the measure of ∠b
∠b = 119° ∠a + ∠b = 180° ∠b = 180° - 61°
q2. determine the surface area of a rectangular solid that has a height of 5 mm, a width of 7 mm, and a length of 10 mm. what is the volume of this solid?

Explanation:

Step1: Calculate the surface area of the rectangular solid

The formula for the surface area \(S\) of a rectangular solid is \(S = 2(lw+lh + wh)\), where \(l = 10\) mm (length), \(w = 7\) mm (width), and \(h = 5\) mm (height).
Substitute the values into the formula:

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Step2: Calculate the volume of the rectangular solid

The formula for the volume \(V\) of a rectangular solid is \(V=lwh\).
Substitute \(l = 10\) mm, \(w = 7\) mm, and \(h = 5\) mm into the formula:

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Answer:

The surface area of the rectangular solid is \(310\) \(mm^{2}\) and the volume is \(350\) \(mm^{3}\).