📐 geometry

1. The problem is to understand whether to multiply or add when dealing with a cuboid. 2. A cuboid is a three-dimensional shape with length ($l$), width ($w$), and height ($h$).

1. **Problem statement:** A cyclist starts from point X, rides 3 km due west to point A, then rides 5 km northwest to point Z. We need to find:

1. **State the problem:** Find the surface area of a pyramid with a triangular base where each base edge is 10 units and the slant height is 12 units. 2. **Formula for surface area

1. **State the problem:** We have a triangle with sides 5.2 cm, 6.3 cm, and 9.4 cm, each measured to the nearest millimeter (0.1 cm). We need to find the lower bound of the perimet

1. **Problem Statement:** We have a right-angled triangle $\triangle ACE$ and a square $PQRS$ inside it.

1. **Problem Statement:** Fill in the 6 blanks with the correct triangle congruence statements or "Not Possible" based on the given graphs. 2. **Recall the criteria:**

1. **Problem Statement:** Determine if triangles are congruent by ASA or AAS and match the correct congruence statement. 2. **Recall the criteria:**

1. **Problem Statement:** Given a right-angled triangle \(\triangle ACE\) with \(AB=\frac{40}{3}\), \(BC=10\), \(BR=ER\), and \(\angle BEC=45^\circ\). Points E and F have equal per

1. **State the problem:** Find the area of the first parallelogram with base 7 ft and height 3 ft. 2. **Formula:** The area $A$ of a parallelogram is given by

1. **Problem statement:** Find the volume of a cone with radius $r=4$ cm and height $h=8$ cm.

1. **Problem Statement:** Find the volume and surface area of an L-shaped prism composed of two rectangular prisms joined at one end.

1. **Stating the problem:** We have a right triangle with a right angle, one angle of 60°, and the hypotenuse labeled 30. We need to find the lengths of sides $x$ and $y$.

1. The problem states that the angles 42° and c° are part of a right angle, which measures 90° in total. 2. The relationship between the angles inside a right angle is that their s

1. **Stating the problem:** Given a triangle with an angle of 60° and an adjacent side of length $52\sqrt{3}$, find the missing sides $x$ and $y$ of a right triangle with angles 30

1. **State the problem:** We are given an equation relating angles formed by intersecting lines: $$2m + 60 = 130$$. We need to solve for the unknown angle measure $m$. 2. **Recall

1. **State the problem:** Given that $m\angle 1 = m\angle 3$, prove that $\angle AEC \cong \angle DEB$. 2. **Understand the setup:** At point $E$, rays $EA$, $EB$, $EC$, and $ED$ f

1. **State the problem:** We are given three angles on a straight line: 65°, b°, and 20°. We know that the sum of angles on a straight line is 180°. 2. **Write the equation:** Acco

1. The problem states that three angles on a straight line add up to form a straight angle. 2. A straight angle measures exactly 180 degrees.

1. **State the problem:** Given that $MN \parallel JK$, prove that $\triangle JKL \sim \triangle MNL$. 2. **Identify the statements and reasons:**

1. **State the problem:** We need to find the volume of a pyramid with a rectangular base. 2. **Given data:** The base is a rectangle with length $11$ cm and width $23$ cm. The hei

1. **Problem statement:** Given a triangle with one angle measuring 122° and two sides marked as equal, find the measure of Angle 1. 2. **Understanding the problem:** The triangle